Mihalis Dafermos

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All published works

Action	Title	Year	Authors
+ PDF Chat	Black Holes Inside and Out 2024: visions for the future of black hole physics	2024	Niayesh Afshordi Abhay Ashtekar Enrico Barausse Emanuele Berti Richard Brito Luca Buoninfante Raúl Carballo-Rubio Vítor Cardoso G. Carullo Mihalis Dafermos
+ PDF Chat	Quasilinear wave equations on Kerr black holes in the full subextremal range $\|a\|<M$	2024	Mihalis Dafermos Gustav Holzegel Igor Rodnianski M. J. Taylor
+ PDF Chat	A scattering theory construction of dynamical vacuum black holes	2024	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	2022	Mihalis Dafermos Gustav Holzegel Igor Rodnianski Martin Taylor
+	The non-linear stability of the Schwarzschild family of black holes	2021	Mihalis Dafermos Gustav Holzegel Igor Rodnianski M. J. Taylor
+	The non-linear stability of the Schwarzschild family of black holes	2021	Mihalis Dafermos Gustav Holzegel Igor Rodnianski Martin Taylor
+ PDF Chat	Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$\|a\|\ll M$$	2019	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	The linear stability of the Schwarzschild solution to gravitational perturbations	2019	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+ PDF Chat	Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0	2018	Mihalis Dafermos Yakov Shlapentokh-Rothman
+ PDF Chat	A scattering theory for the wave equation on Kerr black hole exteriors	2018	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $\|a\|\ll M$	2017	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+	The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon	2017	Mihalis Dafermos Jonathan Luk
+	Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $\|a\|\ll M$	2017	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+ PDF Chat	Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes	2016	Mihalis Dafermos Yakov Shlapentokh-Rothman
+ PDF Chat	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2016	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+ PDF Chat	Strong Cosmic Censorship for Surface‐Symmetric Cosmological Spacetimes with Collisionless Matter	2016	Mihalis Dafermos Alan D. Rendall
+ PDF Chat	Black Holes Without Spacelike Singularities	2014	Mihalis Dafermos
+	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2014	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	The mathematical analysis of black holes in general relativity	2014	Mihalis Dafermos
+	Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case \|a\| < M	2014	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman
+	Springer briefs in mathematical physics	2014	Nathanaël Berestycki Mihalis Dafermos 徹江口敦夫国場 Matilde Marcolli Bruno Nachtergaele
+	A scattering theory construction of dynamical vacuum black holes	2013	Mihalis Dafermos Gustav Holzegel Igor Rodnianski
+ PDF Chat	THE BLACK HOLE STABILITY PROBLEM FOR LINEAR SCALAR PERTURBATIONS	2012	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds	2011	Mihalis Dafermos Igor Rodnianski
+	IV.13 General Relativity and the Einstein Equations	2010	Mihalis Dafermos
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The black hole stability problem for linear scalar perturbations	2010	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	A NEW PHYSICAL-SPACE APPROACH TO DECAY FOR THE WAVE EQUATION WITH APPLICATIONS TO BLACK HOLE SPACETIMES	2010	Mihalis Dafermos Igor Rodnianski
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The red‐shift effect and radiation decay on black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Black Hole Formation from a Complete Regular Past	2009	Mihalis Dafermos
+ PDF Chat	The wave equation on axisymmetric stationary black hole backgrounds	2009	Mihalis Dafermos Kerstin E. Kunze Marc Mars Miguel Angel Vázquez-Mozo
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski
+	A note on energy currents and decay for the wave equation on a Schwarzschild background	2007	Mihalis Dafermos Igor Rodnianski
+	Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter	2007	Mihalis Dafermos Alan D. Rendall
+	A NOTE ON THE COLLAPSE OF SMALL DATA SELF-GRAVITATING MASSLESS COLLISIONLESS MATTER	2006	Mihalis Dafermos
+ PDF Chat	On the nonlinear stability of higher dimensional triaxial Bianchi-{IX} black holes	2006	Mihalis Dafermos Gustav Holzegel
+	Strong cosmic censorship for T^2-symmetric cosmological spacetimes with collisionless matter	2006	Mihalis Dafermos Alan D. Rendall
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	An Extension Principle for the Einstein-Vlasov System in Spherical Symmetry	2005	Mihalis Dafermos Alan D. Rendall
+ PDF Chat	Inextendibility of expanding cosmological models with symmetry	2005	Mihalis Dafermos Alan D. Rendall
+	On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes	2005	Mihalis Dafermos Gustav Holzegel
+ PDF Chat	A proof of Price’s law for the collapse of a self-gravitating scalar field	2005	Mihalis Dafermos Igor Rodnianski
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Spherically symmetric spacetimes with a trapped surface	2005	Mihalis Dafermos
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The interior of charged black holes and the problem of uniqueness in general relativity	2005	Mihalis Dafermos
+ PDF Chat	On naked singularities and the collapse of self-gravitating Higgs fields	2005	Mihalis Dafermos
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+	On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes	2005	Mihalis Dafermos Gustav Holzegel
+ PDF Chat	Stability and instability of the Reissner-Nordström Cauchy horizon and the problem of uniqueness in general relativity	2004	Mihalis Dafermos
+	Price's law, mass inflation, and strong cosmic censorship	2004	Mihalis Dafermos
+	A note on boundary value problems for black hole evolutions	2004	Mihalis Dafermos Igor Rodnianski
+	On naked singularities and the collapse of self-gravitating Higgs fields	2004	Mihalis Dafermos
+	The interior of charged black holes and the problem of uniqueness in general relativity	2003	Mihalis Dafermos
+ PDF Chat	On ``Time-Periodic' Black-Hole Solutions to Certain Spherically Symmetric Einstein-Matter Systems	2003	Mihalis Dafermos
+	The interior of charged black holes and the problem of uniqueness in general relativity	2003	Mihalis Dafermos
+	Stability and Instability of the Reissner-Nordstrom Cauchy Horizon and the Problem of Uniqueness in General Relativity	2002	Mihalis Dafermos

Common Coauthors

Coauthor	Papers Together
Igor Rodnianski	35
Gustav Holzegel	13
Yakov Shlapentokh-Rothman	6
Alan D. Rendall	5
M. J. Taylor	2
Martin Taylor	2
敦夫国場	1
Samir D. Mathur	1
Matt Visser	1
Paolo Pani	1
Ruth Gregory	1
Frans Pretorius	1
Paul Tiede	1
Alessia Platania	1
Nathanaël Berestycki	1
Adrián del Río	1
Raúl Carballo-Rubio	1
Jutta Kunz	1
Enrico Barausse	1
S. Nissanke	1
Vítor Cardoso	1
Richard Brito	1
Robert M. Wald	1
Marc Mars	1
Mariafelicia De Laurentis	1
Abhay Ashtekar	1
Kerstin E. Kunze	1
Luca Buoninfante	1
Roberto Emparan	1
Francesco Di Filippo	1
Stefano Liberati	1
W. G. Unruh	1
Bruno Nachtergaele	1
徹江口	1
Niayesh Afshordi	1
Emanuele Berti	1
Misao Sasaki	1
Carlos Herdeiro	1
Luis Lehner	1
Matilde Marcolli	1
Astrid Eichhorn	1
Jonathan Luk	1
G. Carullo	1
Miguel Angel Vázquez-Mozo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The interior of charged black holes and the problem of uniqueness in general relativity	2005	Mihalis Dafermos	23
+	On the global initial value problem and the issue of singularities	1999	Demetrios Christodoulou	23
+ PDF Chat	Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzschild Space	2006	Pieter Blue Jacob Sterbenz	19
+ PDF Chat	Spherically symmetric spacetimes with a trapped surface	2005	Mihalis Dafermos	17
+ PDF Chat	The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field	1999	Demetrios Christodoulou	15
+ PDF Chat	A proof of Price’s law for the collapse of a self-gravitating scalar field	2005	Mihalis Dafermos Igor Rodnianski	14
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski	14
+	The formation of black holes and singularities in spherically symmetric gravitational collapse	1991	Demetrios Christodoulou	13
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis	13
+ PDF Chat	A Local Energy Estimate on Kerr Black Hole Backgrounds	2010	Daniel Tataru Mihai Tohaneanu	12
+	A note on energy currents and decay for the wave equation on a Schwarzschild background	2007	Mihalis Dafermos Igor Rodnianski	11
+	Errata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation''	2006	Pieter Blue Avy Soffer	11
+	Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds	2000	Izabella Łaba Avy Soffer	10
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	10
+ PDF Chat	A mathematical theory of gravitational collapse	1987	Demetrios Christodoulou	10
+	Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem	2010	Gustav Holzegel	10
+ PDF Chat	Improved Decay for Solutions to the Linear Wave Equation on a Schwarzschild Black Hole	2010	Jonathan Luk	9
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	2010	Mihalis Dafermos Igor Rodnianski	9
+ PDF Chat	DECAY OF THE MAXWELL FIELD ON THE SCHWARZSCHILD MANIFOLD	2008	Pieter Blue	9
+ PDF Chat	A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds	2011	Mihalis Dafermos Igor Rodnianski	9
+ PDF Chat	Decay of Solutions of the Wave Equation in the Kerr Geometry	2006	Felix Finster Niky Kamran Joel Smoller Shing‐Tung Yau	9
+	Maximal Extension of Schwarzschild Metric	1960	Martin D. Kruskal	9
+ PDF Chat	Hidden symmetries and decay for the wave equation on the Kerr spacetime	2015	Lars Andersson Pieter Blue	9
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski	8
+	Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds	2012	Stefanos Aretakis	8
+ PDF Chat	Local decay of waves on asymptotically flat stationary space-times	2013	Daniel Tataru	8
+ PDF Chat	The Formation of Black Holes in General Relativity	2009	Demetrios Christodoulou	8
+ PDF Chat	Uniqueness of Smooth Stationary Black Holes in Vacuum: Small Perturbations of the Kerr Spaces	2010	Spyros Alexakis Alexandru D. Ionescu Sergiù Klainerman	8
+ PDF Chat	Quasimodes and a lower bound on the uniform energy decay rate for Kerr–AdS spacetimes	2014	Gustav Holzegel Jacques Smulevici	8
+	A new physical-space approach to decay for the wave equation with applications to black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski	8
+ PDF Chat	Decay and Non-Decay of the Local Energy for the Wave Equation on the De Sitter–Schwarzschild Metric	2008	Jean‐François Bony Dietrich Häfner	8
+	Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates	2003	Pieter Blue Avy Soffer	8
+ PDF Chat	Quasi-Normal Modes and Exponential Energy Decay for the Kerr-de Sitter Black Hole	2011	Semyon Dyatlov	8
+ PDF Chat	Decay Properties of Klein‐Gordon Fields on Kerr‐AdS Spacetimes	2013	Gustav Holzegel Jacques Smulevici	7
+	Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)	2013	András Vasy	7
+ PDF Chat	The problem of a self-gravitating scalar field	1986	Demetrios Christodoulou	7
+	Black hole equilibrium states.	1973	B. Carter	7
+	Bounded variation solutions of the spherically symmetric einstein‐scalar field equations	1993	Demetrios Christodoulou	7
+ PDF Chat	A scattering theory for the wave equation on Kerr black hole exteriors	2018	Mihalis Dafermos Igor Rodnianski Yakov Shlapentokh-Rothman	7
+ PDF Chat	The red‐shift effect and radiation decay on black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski	7
+ PDF Chat	Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes	2015	Jan Sbierski	7
+ PDF Chat	Horizon instability of extremal black holes	2015	Stefanos Aretakis	7
+ PDF Chat	Linear Waves in the Interior of Extremal Black Holes I	2016	Dejan Gajic	6
+ PDF Chat	Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations	1968	Brandon Carter	6
+ PDF Chat	A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole	2012	Jonathan Luk	6
+	Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric	1994	Alain Bachelot	6
+ PDF Chat	The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes	2013	Jonathan Luk	6
+ PDF Chat	Strichartz Estimates on Schwarzschild Black Hole Backgrounds	2009	Jeremy L. Marzuola Jason Metcalfe Daniel Tataru Mihai Tohaneanu	6
+ PDF Chat	The global stability of Minkowski space-time in harmonic gauge	2010	Hans Lindblad Igor Rodnianski	6
+	Asymptotic properties of linear field equations in minkowski space	1990	Demetrios Christodoulou Sergiù Klainerman	6