Piotr T. Chruściel

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All published works
Action Title Year Authors
+ PDF Chat Thomas-Wigner rotation via Clifford algebras 2025 Piotr T. Chruściel
Helmuth K. Urbantke
+ PDF Chat Kerr-AdS type higher dimensional black holes with non-spherical cross-sections of horizons 2025 Piotr T. Chruściel
Cong Wan
Finnian Gray
+ On elastic deformations of cylindrical bodies under the influence of the gravitational field 2024 Hamed Barzegar
Piotr T. Chruściel
Florian Steininger
+ PDF Chat Cauchy problems for Einstein equations in three-dimensional spacetimes 2024 Piotr T. Chruściel
Cong Wan
Théophile Quéau
Raphaela Wutte
+ PDF Chat A Bogovski\v{i}-type operator for Corvino-Schoen hyperbolic gluing 2024 Piotr T. Chruściel
Alessia Cogo
Andrea Nützi
+ PDF Chat Characteristic Gluing with $\Lambda$: III. High-differentiability nonlinear gluing 2024 Piotr T. Chruściel
Cong Wan
Finnian Gray
+ On elastic deformations of cylindrical bodies under the influence of the gravitational field 2024 Hamed Barzegar
Piotr T. Chruściel
Florian Steininger
+ Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic manifolds 2024 Piotr T. Chruściel
Raphaela Wutte
+ Characteristic Gluing with $Λ$: II. Linearised equations in higher dimensions 2024 Cong Wan
Piotr T. Chruściel
Finnian Gray
+ PDF Chat Characteristic gluing with $\Lambda$: 1. Linearised Einstein equations on four-dimensional spacetimes 2024 Piotr T. Chruściel
Cong Wan
+ Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds 2023 Piotr T. Chruściel
Tomasz Smołka
+ PDF Chat On staticity of bifurcate Killing horizons* 2023 Piotr T. Chruściel
Marc Mars
+ PDF Chat Gluing variations 2023 Piotr T. Chruściel
Wan Cong
+ The Cauchy problem for the Proca equation in gravitating dielectric media 2023 Florian Steininger
Piotr T. Chruściel
+ PDF Chat No Proca photons 2023 Florian Steininger
Thomas Mieling
Piotr T. Chruściel
+ PDF Chat On the Uniqueness of Schwarzschild–de Sitter Spacetime 2023 Stefano Borghini
Piotr T. Chruściel
Lorenzo Mazzieri
+ PDF Chat On Asymptotically Locally Hyperbolic Metrics with Negative Mass 2023 Piotr T. Chruściel
Erwann Delay
+ PDF Chat Hyperbolic energy and Maskit gluings 2023 Piotr T. Chruściel
Erwann Delay
Raphaela Wutte
+ Gluing variations 2023 Piotr T. Chruściel
Cong Wan
+ The Cauchy problem for the Proca equation in gravitating dielectric media 2023 Florian Steininger
Piotr T. Chruściel
+ The "neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension 2023 Piotr T. Chruściel
Roger Tagne Wafo
Finnian Gray
+ Remarks on stationary vacuum black holes 2023 Piotr T. Chruściel
+ Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds 2023 Piotr T. Chruściel
Tomasz Smołka
+ On staticity of bifurcate Killing horizons 2023 Piotr T. Chruściel
Marc Mars
+ PDF Chat Asymptotic flatness in higher dimensions 2022 P. Cameron
Piotr T. Chruściel
+ PDF Chat On Carlotto-Schoen-type scalar-curvature gluings 2022 Piotr T. Chruściel
Erwann Delay
+ On Asymptotically Locally Hyperbolic Metrics with Negative Mass 2022 Piotr T. Chruściel
Erwann Delay
+ Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime 2022 Piotr T. Chruściel
Gregory J. Galloway
+ Characteristic Gluing with $Λ$ 1. Linearised Einstein equations on four-dimensional spacetimes 2022 Piotr T. Chruściel
Cong Wan
+ Analyticity of stationary spacetimes from maximal hypersurfaces 2022 Piotr T. Chruściel
Marc Mars
+ No Proca Photons 2022 Florian Steininger
Thomas Mieling
Piotr T. Chruściel
+ Hyperbolic positive energy theorems 2021 Piotr T. Chruściel
+ PDF Chat Hyperbolic energy and Maskit gluings 2021 Piotr T. Chruściel
Erwann Delay
Raphaela Wutte
+ PDF Chat Hyperbolic energy and Maskit gluings 2021 Piotr T. Chruściel
Erwann Delay
Raphaela Wutte
+ PDF Chat Hyperbolic positive energy theorems 2021 Piotr T. Chruściel
+ PDF Chat Hyperbolic energy and Maskit gluings 2021 Piotr T. Chruściel
Erwann Delay
Raphaela Wutte
+ The electromagnetic field in gravitational wave interferometers <sup>*</sup> 2021 Thomas Mieling
Piotr T. Chruściel
Stefan Palenta
+ Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary 2021 Piotr T. Chruściel
Gregory J. Galloway
+ PDF Chat On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ 2021 Piotr T. Chruściel
Sk Jahanur Hoque
Maciej Maliborski
Tomasz Smołka
+ Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary 2021 Piotr T. Chruściel
Gregory J. Galloway
+ PDF Chat Energy of weak gravitational waves in spacetimes with a positive cosmological constant 2021 Piotr T. Chruściel
Sk Jahanur Hoque
Tomasz Smołka
+ On the lag between deaths and infections in the first phase of the Covid-19 pandemic 2021 Piotr T. Chruściel
Sebastian J. Szybka
+ PDF Chat Asymptotically flat Einstein–Maxwell fields are inheriting 2021 Piotr T. Chruściel
Luc Nguyen
Paul Tod
András Vasy
+ Quo Vadis, Mathematical General Relativity? 2021 Piotr T. Chruściel
+ PDF Chat On Carlotto--Schoen-type scalar-curvature gluings 2021 Piotr T. Chruściel
Erwann Delay
+ Hyperbolic energy and Maskit gluings 2021 Piotr T. Chruściel
Erwann Delay
Raphaela Wutte
+ Hyperbolic positive energy theorems 2021 Piotr T. Chruściel
+ Universal properties of the dynamics of the Covid-19 pandemic 2020 Piotr T. Chruściel
Sebastian J. Szybka
+ An introduction to black holes 2020 Piotr T. Chruściel
+ Elements of causality 2020 Piotr T. Chruściel
+ Basic notions 2020 Piotr T. Chruściel
+ Projection diagrams 2020 Piotr T. Chruściel
+ PDF Chat Structure of the singular ring in Kerr-like metrics 2020 Piotr T. Chruściel
Maciej Maliborski
Nicolás Yunes
+ A phenomenological algorithm for short-range predictions of the Covid-19 pandemics 2020 2020 Piotr T. Chruściel
Sebastian J. Szybka
+ PDF Chat On linearised vacuum constraint equations on Einstein manifolds* 2020 Robert Beig
Piotr T. Chruściel
+ PDF Chat Uniqueness and energy bounds for static AdS metrics 2020 Piotr T. Chruściel
Gregory J. Galloway
Yohan Potaux
+ PDF Chat Remarks on the energy of asymptotically Horowitz-Myers metrics 2020 Hamed Barzegar
Piotr T. Chruściel
Michael Hörzinger
Maciej Maliborski
Luc Nguyen
+ PDF Chat Black holes, gravitational waves and fundamental physics: a roadmap 2019 Leor Barack
Vítor Cardoso
S. Nissanke
Thomas P. Sotiriou
Abbas Askar
Krzysztof Belczyński
Gianfranco Bertone
E. Bon
Diego Blas
Richard Brito
+ The hyperbolic positive energy theorem 2019 Piotr T. Chruściel
Erwann Delay
+ PDF Chat On the total mass of asymptotically hyperbolic manifolds 2019 Hamed Barzegar
Piotr T. Chruściel
Luc Nguyen
+ Roads to topological censorship 2019 Piotr T. Chruściel
Gregory J. Galloway
+ PDF Chat On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics 2019 Piotr T. Chruściel
Erwann Delay
Paul Klinger
+ The hyperbolic positive energy theorem 2019 Piotr T. Chruściel
Erwann Delay
+ On the uniqueness of Schwarzschild-de Sitter spacetime 2019 Stefano Borghini
Piotr T. Chruściel
Lorenzo Mazzieri
+ Weakly gravitating isotropic waveguides 2018 Robert Beig
Piotr T. Chruściel
Christopher Hilweg
Philipp Kornreich
Philip Walther
+ PDF Chat On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds 2018 Piotr T. Chruściel
Gregory J. Galloway
Luc Nguyen
Tim-Torben Paetz
+ PDF Chat Weakly trapped surfaces in asymptotically de Sitter spacetimes 2018 Piotr T. Chruściel
Gregory J. Galloway
Eric Ling
+ Asymptotically flat Einstein-Maxwell fields are inheriting 2018 Piotr T. Chruściel
Luc Nguyen
Paul Tod
András Vasy
+ PDF Chat Non-singular space-times with a negative cosmological constant: V. Boson stars 2018 Piotr T. Chruściel
Erwann Delay
Paul Klinger
Andreas Kriegl
Peter W. Michor
Armin Rainer
+ PDF Chat Exotic hyperbolic gluings 2018 Piotr T. Chruściel
Erwann Delay
+ PDF Chat The annoying null boundaries 2018 Piotr T. Chruściel
Paul Klinger
+ Asymptotically flat Einstein-Maxwell fields are inheriting 2018 Piotr T. Chruściel
Luc Nguyen
Paul Tod
András Vasy
+ PDF Chat Energy in higher-dimensional spacetimes 2017 Hamed Barzegar
Piotr T. Chruściel
Michael Hörzinger
+ On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant 2017 Piotr T. Chruściel
+ PDF Chat Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields 2017 Piotr T. Chruściel
Erwann Delay
Paul Klinger
+ Towards a classification of vacuum near-horizons geometries 2017 Piotr T. Chruściel
Sebastian J. Szybka
Paul Tod
+ Towards a classification of near-horizons geometries 2017 Piotr T. Chruściel
Paul Tod
Sebastian J. Szybka
+ PDF Chat Long time existence from interior gluing 2017 Piotr T. Chruściel
+ PDF Chat Nonsingular spacetimes with a negative cosmological constant: Stationary solutions with matter fields 2017 Piotr T. Chruściel
Erwann Delay
Paul Klinger
+ PDF Chat Compact singularity-free Kerr–Newman–de Sitter instantons 2017 Piotr T. Chruściel
Michael Hörzinger
+ PDF Chat Shielding linearized gravity 2017 Robert Beig
Piotr T. Chruściel
+ PDF Chat Non-singular space-times with a negative cosmological constant: II. Static solutions of the Einstein–Maxwell equations 2017 Piotr T. Chruściel
Erwann Delay
+ PDF Chat Gravitationally induced phase shift on a single photon 2017 Christopher Hilweg
Francesco Massa
Д. В. Мартынов
N. Mavalvala
Piotr T. Chruściel
Philip Walther
+ On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant 2017 Piotr T. Chruściel
+ PDF Chat The cosmological constant and the energy of gravitational radiation 2016 Piotr T. Chruściel
Lukas Ifsits
+ PDF Chat Bifurcating Solutions of the Lichnerowicz Equation 2016 Piotr T. Chruściel
Romain Gicquaud
+ PDF Chat The Euclidean quantisation of Kerr-Newman-de Sitter black holes 2016 Piotr T. Chruściel
Michael Hörzinger
+ Anti-gravity à la Carlotto-Schoen 2016 Piotr T. Chruściel
+ Future-complete null hypersurfaces, interior gluings, and the Trautman-Bondi mass 2016 Lydia Bieri
Piotr T. Chruściel
+ PDF Chat On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations 2016 Aurore Cabet
Piotr T. Chruściel
Roger Tagne Wafo
+ On Carlotto-Schoen-type scalar-curvature gluings 2016 Piotr T. Chruściel
Erwann Delay
+ PDF Chat On Differentiability of Volume Time Functions 2015 Piotr T. Chruściel
James D. E. Grant
E. Minguzzi
+ Exotic hyperbolic gluings 2015 Piotr T. Chruściel
Erwann Delay
+ PDF Chat Hamiltonian dynamics in the space of asymptotically Kerr–de Sitter spacetimes 2015 Piotr T. Chruściel
Jacek Jezierski
Jerzy Kijowski
+ PDF Chat Vacuum spacetimes with controlled singularities and without symmetries 2015 Piotr T. Chruściel
Paul Klinger
+ Exotic hyperbolic gluings 2015 Piotr T. Chruściel
E. Delay
+ PDF Chat Characteristic Initial Data and Smoothness of Scri. I. Framework and Results 2014 Piotr T. Chruściel
Tim-Torben Paetz
+ PDF Chat Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation 2014 Piotr T. Chruściel
Rafe Mazzeo
+ On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations 2014 Aurore Cabet
Piotr T. Chruściel
Roger Tagne Wafo
+ PDF Chat THE EXISTENCE THEOREM FOR THE GENERAL RELATIVISTIC CAUCHY PROBLEM ON THE LIGHT-CONE 2014 Piotr T. Chruściel
+ PDF Chat The mass of light-cones 2014 Piotr T. Chruściel
Tim-Torben Paetz
+ PDF Chat A2: Mathematical relativity and other progress in classical gravity theory—a session report 2014 Piotr T. Chruściel
Tim-T. Paetz
+ PDF Chat Outer trapped surfaces are dense near MOTSs 2014 Piotr T. Chruściel
Gregory J. Galloway
+ On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations 2014 Aurore Cabet
Piotr T. Chruściel
Roger Tagne Wafo
+ PDF Chat KIDs like cones 2013 Piotr T. Chruściel
Tim-Torben Paetz
+ Solutions of the vacuum Einstein equations with initial data on past null infinity 2013 Piotr T. Chruściel
Tim-Torben Paetz
+ PDF Chat On maximal globally hyperbolic vacuum space-times 2013 Piotr T. Chruściel
+ PDF Chat Hamiltonian mass of asymptotically Schwarzschild–de Sitter space-times 2013 Piotr T. Chruściel
Jacek Jezierski
Jerzy Kijowski
+ PDF Chat Initial data sets with ends of cylindrical type: II. The vector constraint equation. 2013 Piotr T. Chruściel
Rafe Mazzeo
Samuel Pocchiola
+ Boundary conditions at spatial infinity from a Hamiltonian point of view 2013 Piotr T. Chruściel
+ PDF Chat Space-time diagrammatics 2012 Piotr T. Chruściel
Christa R. Ölz
Sebastian J. Szybka
+ The existence theorem for the general relativistic Cauchy problem on the light-cone 2012 Piotr T. Chruściel
+ PDF Chat The many ways of the characteristic Cauchy problem 2012 Piotr T. Chruściel
Tim-Torben Paetz
+ PDF Chat On Lorentzian causality with continuous metrics 2012 Piotr T. Chruściel
James D. E. Grant
+ PDF Chat Stationary Black Holes: Uniqueness and Beyond 2012 Piotr T. Chruściel
João L. Costa
Markus Heusler
+ Initial data sets with ends of cylindrical type: II. The vector constraint equation 2012 Piotr T. Chruściel
Rafe Mazzeo
Samuel Pocchiola
+ Initial data sets with ends of cylindrical type: I. The Lichnerowicz equation 2012 Piotr T. Chruściel
Rafe Mazzeo
+ Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations 2012 Yvonne Choquet–Bruhat
Piotr T. Chruściel
+ Initial data sets with ends of cylindrical type: I. The Lichnerowicz equation 2012 Piotr T. Chruściel
Rafe Mazzeo
+ Initial data sets with ends of cylindrical type: II. The vector constraint equation 2012 Piotr T. Chruściel
Rafe Mazzeo
Samuel Pocchiola
+ The existence theorem for the general relativistic Cauchy problem on the light-cone 2012 Piotr T. Chruściel
+ On maximal globally hyperbolic vacuum space-times 2011 Piotr T. Chruściel
+ PDF Chat Existence of singularities in two-Kerr black holes 2011 Piotr T. Chruściel
Michał Eckstein
Luc Nguyen
Sebastian J. Szybka
+ PDF Chat SOLUTIONS OF QUASI-LINEAR WAVE EQUATIONS POLYHOMOGENEOUS AT NULL INFINITY IN HIGH DIMENSIONS 2011 Piotr T. Chruściel
Roger Tagne Wafo
+ PDF Chat On free general relativistic initial data on the light cone 2011 Piotr T. Chruściel
Jacek Jezierski
+ PDF Chat A lower bound for the mass of axisymmetric connected black hole data sets 2011 Piotr T. Chruściel
Luc Nguyen
+ PDF Chat Construction of N-Body Initial Data Sets in General Relativity 2011 Piotr T. Chruściel
Justin Corvino
James Isenberg
+ PDF Chat Ghost points in inverse scattering constructions of stationary Einstein metrics 2011 Piotr T. Chruściel
Luc Nguyen
+ Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times 2011 Piotr T. Chruściel
Erwann Delay
+ PDF Chat The Cauchy Problem on a Characteristic Cone for the Einstein Equations in Arbitrary Dimensions 2011 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations 2011 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ Construction of 𝑁-body time-symmetric initial data sets in general relativity 2011 Piotr T. Chruściel
Justin Corvino
James Isenberg
+ PDF Chat Stable causality of the Pomeransky–Senkov black holes 2011 Piotr T. Chruściel
Sebastian J. Szybka
+ Elements of causality theory 2011 Piotr T. Chruściel
+ On maximal globally hyperbolic vacuum space-times 2011 Piotr T. Chruściel
+ An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data 2010 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat On smoothness of black saturns 2010 Piotr T. Chruściel
Michał Eckstein
Sebastian J. Szybka
+ Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions 2010 Piotr T. Chruściel
Roger Tagne Wafo
+ Stable causality of the Pomeransky-Senkov black holes 2010 Piotr T. Chruściel
Sebastian J. Szybka
+ PDF Chat Uniqueness of static black holes without analyticity 2010 Piotr T. Chruściel
Gregory J. Galloway
+ PDF Chat A Uniqueness Theorem for Degenerate Kerr–Newman Black Holes 2010 Piotr T. Chruściel
Luc Nguyen
+ PDF Chat Maximal analytic extensions of the Emparan-Reall black ring 2010 Piotr T. Chruściel
Julien Cortier
+ Mathematical general relativity: a sampler 2010 Piotr T. Chruściel
Gregory J. Galloway
Daniel Pollack
+ PDF Chat EINSTEIN CONSTRAINTS ON A CHARACTERISTIC CONE 2010 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat A uniqueness theorem for degenerate Kerr-Newman black holes 2010 Piotr T. Chruściel
Luc Nguyen
+ PDF Chat Einstein constraints on a characteristic cone 2010 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat Conformal boundary extensions of Lorentzian manifolds 2010 Piotr T. Chruściel
+ PDF Chat On the global structure of the Pomeransky–Senkov black holes 2010 Piotr T. Chruściel
Julien Cortier
Alfonso Gómez-Lobo
+ PDF Chat Mathematical general relativity: A sampler 2010 Piotr T. Chruściel
Gregory J. Galloway
Daniel Pollack
+ An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data 2010 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ Mathematical general relativity: a sampler 2010 Piotr T. Chruściel
Gregory J. Galloway
Daniel Pollack
+ An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations 2010 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ Stable causality of the Pomeransky-Senkov black holes 2010 Piotr T. Chruściel
Sebastian J. Szybka
+ Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions 2010 Piotr T. Chruściel
Roger Tagne Wafo
+ PDF Chat Mass, angular-momentum and charge inequalities for axisymmetric initial data 2009 Piotr T. Chruściel
João L. Costa
+ PDF Chat Solutions polyhomogènes des équations d'ondes quasi-linéaires 2009 Piotr T. Chruściel
Roger Tagne Wafo
+ PDF Chat Topological Censorship for Kaluza–Klein Space-Times 2009 Piotr T. Chruściel
Gregory J. Galloway
Didier A. Solis
+ PDF Chat The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat On higher dimensional black holes with Abelian isometry group 2009 Piotr T. Chruściel
+ PDF Chat An angular momentum bound at null infinity 2009 Piotr T. Chruściel
Paul Tod
+ PDF Chat Singular Yamabe metrics and initial data with \emph{exactly} Kottler–Schwarzschild–de Sitter ends II. Generic metrics 2009 Piotr T. Chruściel
Frank Pacard
Daniel Pollack
+ PDF Chat Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature 2009 Piotr T. Chruściel
Erwann Delay
+ On the global structure of the Pomeransky-Senkov black holes 2009 Piotr T. Chruściel
Julien Cortier
Alfonso Gómez-Lobo
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat Mass, angular-momentum, and charge inequalities for axisymmetric initial data 2009 Piotr T. Chruściel
João L. Costa
+ Construction of N-body time-symmetric initial data sets in general relativity 2009 Piotr T. Chruściel
Justin Corvino
James Isenberg
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ The light-cone theorem 2009 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
+ PDF Chat On uniqueness of stationary vacuum black holes 2008 Piotr T. Chruściel
João L. Costa
+ PDF Chat On Mason’s Rigidity Theorem 2008 Piotr T. Chruściel
Paul Tod
+ PDF Chat Topological censorship for Kaluza-Klein space-times 2008 Piotr T. Chruściel
Gregory J. Galloway
Didier A. Solis
+ On the geometry of Emparan-Reall black rings 2008 Piotr T. Chruściel
Julien Cortier
+ PDF Chat Singular Yamabe Metrics and Initial Data with Exactly Kottler–Schwarzschild–de Sitter Ends 2008 Piotr T. Chruściel
Daniel Pollack
+ PDF Chat Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum 2008 Piotr T. Chruściel
Yanyan Li
Gilbert Weinstein
+ PDF Chat Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass 2008 Piotr T. Chruściel
+ Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics 2008 Piotr T. Chruściel
Frank Pacard
Daniel Pollack
+ On uniqueness of stationary vacuum black holes 2008 Piotr T. Chruściel
João L. Costa
+ Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends 2008 Piotr T. Chruściel
Daniel Pollack
+ PDF Chat An angular momentum bound at null infinity 2007 Piotr T. Chruściel
Paul Tod
+ PDF Chat Non-Singular, Vacuum, Stationary Space-Times with a Negative Cosmological Constant 2007 Piotr T. Chruściel
Erwann Delay
+ PDF Chat The Classification of Static Electro–Vacuum Space–Times Containing an Asymptotically Flat Spacelike Hypersurface with Compact Interior 2007 Piotr T. Chruściel
Paul Tod
+ The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions 2007 Robert Beig
Piotr T. Chruściel
+ On the Ernst electro-vacuum equations and ergosurfaces 2007 Piotr T. Chruściel
Sebastian J. Szybka
+ An angular momentum bound at null infinity 2007 Piotr T. Chruściel
Paul Tod
+ ERRATUM: "POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS" 2006 Piotr T. Chruściel
Szymon Łęski
+ PDF Chat Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times 2006 Piotr T. Chruściel
Daniel Maerten
Paul Tod
+ PDF Chat Global solutions of the Einstein–Maxwell equations in higher dimensions 2006 Yvonne Choquet–Bruhat
Piotr T. Chruściel
Julien Loizelet
+ PDF Chat The Ernst equation and ergosurfaces 2006 Piotr T. Chruściel
Gert–Martin Greuel
Reinhard Meinel
Sebastian J. Szybka
+ PDF Chat On Israel–Wilson–Perjés black holes 2006 Piotr T. Chruściel
Harvey S. Reall
Paul Tod
+ PDF Chat POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS 2006 Piotr T. Chruściel
Szymon Łęski
+ PDF Chat Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions 2006 Piotr T. Chruściel
Daniel Maerten
+ Rigid upper bounds for the angular momentum and centre of mass 2006 Piotr T. Chruściel
Daniel Maerten
Paul Tod
+ Conformal boundary extensions of Lorentzian manifolds 2006 Piotr T. Chruściel
+ PDF Chat On non-existence of static vacuum black holes with degenerate components of the event horizon 2005 Piotr T. Chruściel
Harvey S. Reall
Paul Tod
+ PDF Chat RECENT RESULTS IN MATHEMATICAL RELATIVITY 2005 Piotr T. Chruściel
+ PDF Chat Asymptotically Simple Solutions of the Vacuum Einstein Equations in Even Dimensions 2005 Michael T. Anderson
Piotr T. Chruściel
+ Some potentials for the curvature tensor on three-dimensional manifolds 2005 Piotr T. Chruściel
A. Gerber
+ PDF Chat Initial Data Engineering 2005 Piotr T. Chruściel
James Isenberg
Daniel Pollack
+ PDF Chat Boundary value problems for Dirac-type equations 2005 Robert Bartnik
Piotr T. Chruściel
+ PDF Chat KIDs are Non-Generic 2005 Robert Beig
Piotr T. Chruściel
Richard Schoen
+ PDF Chat Boundary regularity of conformally compact Einstein metrics 2005 Piotr T. Chruściel
Erwann Delay
John M. Lee
Dale N. Skinner
+ Polyhomogeneous solutions of nonlinear wave equations without corner conditions 2005 Piotr T. Chruściel
Szymon Łęski
+ PDF Chat Radiation fields 2005 Piotr T. Chruściel
Olivier Lengard
+ Stationary Black Holes 2005 Robert Beig
Piotr T. Chruściel
+ PDF Chat Gluing Initial Data Sets for General Relativity 2004 Piotr T. Chruściel
James Isenberg
Daniel Pollack
+ PDF Chat Manifold structures for sets of solutions of the general relativistic constraint equations 2004 Piotr T. Chruściel
Erwann Delay
+ PDF Chat On the dynamics of Gowdy space‐times 2004 Myeongju Chae
Piotr T. Chruściel
+ On analyticity of static vacuum metrics at non-degenerate horizons 2004 Piotr T. Chruściel
+ PDF Chat The Trautman-Bondi mass of hyperboloidal initial data sets 2004 Piotr T. Chruściel
Jacek Jezierski
Szymon Łęski
+ Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. $n\ge 5$ 2004 M. Eric Anderson
Piotr T. Chruściel
Etienne Delay
+ The Penrose Inequality 2004 Hubert L. Bray
Piotr T. Chruściel
+ On the dynamics of Gowdy space times 2004 Myeongju Chae
Piotr T. Chruściel
+ Boundary regularity of conformally compact Einstein metrics 2004 Piotr T. Chruściel
Erwann Delay
John M. Lee
Dale N. Skinner
+ On analyticity of static vacuum metrics at non-degenerate horizons 2004 Piotr T. Chruściel
+ The Penrose Inequality 2003 Hubert L. Bray
Piotr T. Chruściel
+ PDF Chat The mass of asymptotically hyperbolic Riemannian manifolds 2003 Piotr T. Chruściel
Marc Herzlich
+ PDF Chat On many-black-hole vacuum spacetimes 2003 Piotr T. Chruściel
Rafe Mazzeo
+ Boundary value problems for Dirac--type equations, with applications 2003 Piotr T. Chruściel
Robert Bartnik
+ The Trautman-Bondi mass of initial data sets 2003 Piotr T. Chruściel
Jacek Jezierski
Albert Einstein
+ PDF Chat On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications 2003 Piotr T. Chruściel
Erwann Delay
+ On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications 2003 Piotr T. Chruściel
Erwann Delay
+ The Penrose Inequality 2003 Hubert L. Bray
Piotr T. Chruściel
+ PDF Chat Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant 2002 Michael T. Anderson
Piotr T. Chruściel
Erwann Delay
+ The Hamiltonian Mass and Asymptotically Anti‐de Sitter Space‐times 2002 Piotr T. Chruściel
+ PDF Chat Existence of non-trivial, vacuum, asymptotically simple spacetimes 2002 Piotr T. Chruściel
+ The Hamiltonian Mass and Asymptotically Anti-de Sitter Space-times 2002 Piotr T. Chruściel
+ PDF Chat Existence of non-trivial, vacuum, asymptotically simple spacetimes 2002 Piotr T. Chruściel
Erwann Delay
+ PDF Chat On fine differentiability properties of horizons and applications to Riemannian geometry 2002 Piotr T. Chruściel
Joseph H. G. Fu
Gregory J. Galloway
Ralph Howard
+ Black holes 2002 Piotr T. Chruściel
+ On solutions of the vacuum Einstein equation in the radiation regime 2002 Piotr T. Chruściel
+ Solutions of wave equations in the radiation regime 2002 Piotr T. Chruściel
Olivier Lengard
+ Black holes 2002 Piotr T. Chruściel
+ Hamiltonian Field Theory in the Radiating Regime 2001 Piotr T. Chruściel
Jacek Jezierski
Jerzy Kijowski
+ The mass of asymptotically hyperbolic Riemannian manifolds 2001 Piotr T. Chruściel
Marc Herzlich
+ PDF Chat The Hamiltonian mass of asymptotically anti-de Sitter space-times 2001 Piotr T. Chruściel
Gabriel Nagy
+ PDF Chat Towards the classification of static vacuum spacetimes with negative cosmological constant 2001 Piotr T. Chruściel
Walter Simon
+ PDF Chat The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times 2001 Piotr T. Chruściel
Gabriel Nagy
+ The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times 2001 Piotr T. Chruściel
Gabriel Nagy
+ PDF Chat Polyhomogeneous solutions of wave equations in the radiation regime 2000 Piotr T. Chruściel
Olivier Lengard
+ Regularity of Horizons and The Area Theorem 2000 Piotr T. Chruściel
Erwann Delay
Gregory J. Galloway
Ralph Howard
+ PDF Chat The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior 1999 Piotr T. Chruściel
+ PDF Chat Towards a classification of static electrovacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior 1999 Piotr T. Chruściel
+ PDF Chat A remark on differentiability of Cauchy horizons 1998 Piotr T. Chruściel
+ PDF Chat Uniqueness of the Trautman-Bondi mass 1998 Piotr T. Chruściel
Jacek Jezierski
M. A. H. MacCallum
+ PDF Chat Uniqueness of Scalar Field Energy and Gravitational Energy in the Radiating Regime 1998 Piotr T. Chruściel
Jacek Jezierski
M. A. H. MacCallum
+ PDF Chat Horizons Non-Differentiable on a Dense Set 1998 Piotr T. Chruściel
Gregory J. Galloway
+ GR15 Workshop A3 --- Mathematical Studies of Field Equations --- A report 1998 Piotr T. Chruściel
+ PDF Chat The Isometry Groups of Asymptotically Flat, Asymptotically Empty Space-Times with Timelike ADM Four-Momentum 1997 Robert Beig
Piotr T. Chruściel
+ Global Foliations of Vacuum Spacetimes withT2Isometry 1997 B. K. Berger
Piotr T. Chruściel
James Isenberg
Vincent Moncrief
+ PDF Chat On Rigidity of Analytic Black Holes 1997 Piotr T. Chruściel
+ PDF Chat Global existence of solutions of the Yang–Mills equations on globally hyperbolic four dimensional Lorentzian manifolds 1997 Piotr T. Chruściel
Jalal Shatah
+ PDF Chat Killing initial data 1997 Robert Beig
Piotr T. Chruściel
+ Lorentzian geometry and Einstein equations 1997 Piotr T. Chruściel
+ PDF Chat ``Nowhere'' differentiable horizons 1996 Piotr T. Chruściel
Gregory J. Galloway
+ Uniqueness of stationary, electro-vacuum black holes revisited 1996 Piotr T. Chruściel
+ PDF Chat Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem 1996 Robert Beig
Piotr T. Chruściel
+ Uniqueness of stationary, electro-vacuum black holes revisited 1996 Piotr T. Chruściel
+ PDF Chat Strong Cosmic Censorship in Vacuum Space-Times with Compact, Locally Homogeneous Cauchy Surfaces 1995 Piotr T. Chruściel
Alan D. Rendall
+ PDF Chat All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes 1995 Piotr T. Chruściel
Nikolai S. Nadirashvili
+ On "Asymptotically Flat" Space-Times with G2-Invariant Cauchy Surfaces 1995 B. K. Berger
Piotr T. Chruściel
Vincent Moncrief
+ PDF Chat On the topology of stationary black holes 1994 Piotr T. Chruściel
Robert M. Wald
+ PDF Chat Maximal hypersurfaces in stationary asymptotically flat spacetimes 1994 Piotr T. Chruściel
Robert M. Wald
+ PDF Chat On “hyperboloidal” Cauchy data for vacuum einstein equations and obstructions to smoothness of Scri 1994 Lars Andersson
Piotr T. Chruściel
+ "No Hair" Theorems -- Folklore, Conjectures, Results 1994 Piotr T. Chruściel
+ PDF Chat On the Dynamics of Generators of Cauchy Horizons 1994 Piotr T. Chruściel
James Isenberg
+ PDF Chat “No hair” theorems—folklore, conjectures, results 1994 Piotr T. Chruściel
+ "No Hair" Theorems -- Folklore, Conjectures, Results 1994 Piotr T. Chruściel
+ On the dynamics of generators of Cauchy horizons 1994 Piotr T. Chruściel
James Isenberg
+ PDF Chat On completeness of orbits of Killing vector fields 1993 Piotr T. Chruściel
+ PDF Chat Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \Scri 1993 Piotr T. Chruściel
M. A. H. MacCallum
D. B. Singleton
+ PDF Chat Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity 1993 Lars Andersson
Piotr T. Chruściel
+ Maximal hypersurfaces in asymptotically stationary spacetimes 1992 Piotr T. Chruściel
Robert M. Wald
+ PDF Chat On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations 1992 Lars Andersson
Piotr T. Chruściel
Helmut Friedrich
+ PDF Chat On the global Structure of Robinson–Trautman space-times 1992 Piotr T. Chruściel
M. A. H. MacCallum
D. B. Singleton
+ On uniqueness in the large of solutions of Einstein’s equations (“strong cosmic censorship”) 1992 Piotr T. Chruściel
+ PDF Chat Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation 1991 Piotr T. Chruściel
+ On space-times with U(1) × U(1) symmetric compact Cauchy surfaces 1990 Piotr T. Chruściel
+ PDF Chat On maximal surfaces in asymptotically flat space-times 1990 Robert Bartnik
Piotr T. Chruściel
Niall Ó Murchadha
+ Asymptotic estimates in Weighted Hölder spaces for a class of elliptic scale-covariant second order operators 1990 Piotr T. Chruściel
+ On the structure of spatial infinity. I. The Geroch structure 1989 Piotr T. Chruściel
+ On the structure of spatial infinity. II. Geodesically regular Ashtekar–Hansen structures 1989 Piotr T. Chruściel
+ PDF Chat On the invariant mass conjecture in general relativity 1988 Piotr T. Chruściel
+ Boundary conditions at spatial infinity from a Hamiltonian point of view 1985 Piotr T. Chruściel
+ Asymptotic symmetries of de Sitter space-time. 1981 Piotr T. Chruściel
+ Compact Cauchy Horizons and Cauchy Surfaces 1956 Piotr T. Chruściel
James Isenberg
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The Large Scale Structure of Space-Time 1973 S. W. Hawking
George Ellis
41
+ PDF Chat On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications 2003 Piotr T. Chruściel
Erwann Delay
32
+ PDF Chat The mass of asymptotically hyperbolic Riemannian manifolds 2003 Piotr T. Chruściel
Marc Herzlich
30
+ PDF Chat The mass of an asymptotically flat manifold 1986 Robert Bartnik
30
+ PDF Chat Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem 1996 Robert Beig
Piotr T. Chruściel
26
+ Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations 2000 Justin Corvino
25
+ PDF Chat Towards the classification of static vacuum spacetimes with negative cosmological constant 2001 Piotr T. Chruściel
Walter Simon
25
+ Reliability of perturbation theory in general relativity 1990 Thibault Damour
Bernd Schmidt
20
+ PDF Chat The Trautman-Bondi mass of hyperboloidal initial data sets 2004 Piotr T. Chruściel
Jacek Jezierski
Szymon Łęski
19
+ PDF Chat Fredholm operators and Einstein metrics on conformally compact manifolds 2006 John M. Lee
18
+ PDF Chat The Mass of Asymptotically Hyperbolic Manifolds 2001 Xiaodong Wang
18
+ Boundary conditions at spatial infinity from a Hamiltonian point of view 1985 Piotr T. Chruściel
17
+ PDF Chat The boost problem in general relativity 1981 Demetrios Christodoulou
Niall O’Murchadha
16
+ PDF Chat AdS-CFT correspondence and a new positive energy conjecture for general relativity 1998 Gary T. Horowitz
Robert C. Myers
16
+ PDF Chat On completeness of orbits of Killing vector fields 1993 Piotr T. Chruściel
16
+ PDF Chat The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times 2001 Piotr T. Chruściel
Gabriel Nagy
15
+ PDF Chat The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior 1999 Piotr T. Chruściel
15
+ PDF Chat On the invariant mass conjecture in general relativity 1988 Piotr T. Chruściel
15
+ PDF Chat On the Asymptotics for the Vacuum Einstein Constraint Equations 2006 Justin Corvino
Richard Schoen
15
+ PDF Chat On the topology of stationary black holes 1994 Piotr T. Chruściel
Robert M. Wald
15
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
14
+ PDF Chat Symmetries of cosmological Cauchy horizons 1983 Vincent Moncrief
James Isenberg
14
+ PDF Chat Global extensions of spacetimes describing asymptotic final states of black holes 1996 István Rácz
Robert M. Wald
14
+ PDF Chat Positive mass theorems for black holes 1983 G. W. Gibbons
S. W. Hawking
Gary T. Horowitz
Malcolm J. Perry
14
+ The mass of asymptotically hyperbolic Riemannian manifolds 2001 Piotr T. Chruściel
Marc Herzlich
13
+ PDF Chat Topological black holes in anti-de Sitter space 1999 Danny Birmingham
13
+ PDF Chat Killing initial data 1997 Robert Beig
Piotr T. Chruściel
13
+ On uniqueness in the large of solutions of Einstein’s equations (“strong cosmic censorship”) 1992 Piotr T. Chruściel
13
+ On the existence ofn-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure 1986 Helmut Friedrich
13
+ PDF Chat Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times 1995 Helmut Friedrich
13
+ PDF Chat On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations 1992 Lars Andersson
Piotr T. Chruściel
Helmut Friedrich
12
+ PDF Chat Scalar Curvature Rigidity for asymptotically locally hyperbolic manifolds 1998 Lars Andersson
Mattias Dahl
12
+ PDF Chat Gluing and Wormholes for the Einstein Constraint Equations 2002 James Isenberg
Rafe Mazzeo
Daniel Pollack
12
+ Proof of the Riemannian Penrose Conjecture Using the Positive Mass Theorem 1999 Hubert L. Bray
12
+ Black hole equilibrium states. 1973 B. Carter
11
+ Killing Horizons and Orthogonally Transitive Groups in Space-Time 1969 Brandon Carter
11
+ PDF Chat The Hamiltonian mass of asymptotically anti-de Sitter space-times 2001 Piotr T. Chruściel
Gabriel Nagy
11
+ On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications 2003 Piotr T. Chruściel
Erwann Delay
11
+ Einstein metrics with prescribed conformal infinity on the ball 1991 C. Robin Graham
John M. Lee
11
+ PDF Chat Regularity of variational maximal surfaces 1988 Robert Bartnik
11
+ Hamiltonian Field Theory in the Radiating Regime 2001 Piotr T. Chruściel
Jacek Jezierski
Jerzy Kijowski
11
+ PDF Chat On “hyperboloidal” Cauchy data for vacuum einstein equations and obstructions to smoothness of Scri 1994 Lars Andersson
Piotr T. Chruściel
11
+ On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations 1981 Helmut Friedrich
11
+ PDF Chat The Cauchy Problem on a Characteristic Cone for the Einstein Equations in Arbitrary Dimensions 2011 Yvonne Choquet–Bruhat
Piotr T. Chruściel
José M. Martín-García
11
+ PDF Chat <i>N</i>-Black hole stationary and axially symmetric solutions of the einstein/maxwell equations 1996 Gilbert Weinstein
11
+ The Cauchy Problem 1980 Yvonne Choquet–Bruhat
James W. York
10
+ PDF Chat Existence of non-trivial, vacuum, asymptotically simple spacetimes 2002 Piotr T. Chruściel
Erwann Delay
10
+ On uniqueness of stationary vacuum black holes 2008 Piotr T. Chruściel
João L. Costa
10
+ PDF Chat The Isometry Groups of Asymptotically Flat, Asymptotically Empty Space-Times with Timelike ADM Four-Momentum 1997 Robert Beig
Piotr T. Chruściel
10
+ PDF Chat Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum 2008 Piotr T. Chruściel
Yanyan Li
Gilbert Weinstein
10