Lectures on black holes and linear waves

Mihalis Dafermos, Igor Rodnianski

Type: Preprint

Publication Date: 2008-11-03

Citations: 114

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+	Lectures on black holes and linear waves	2008	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The wave equation on axisymmetric stationary black hole backgrounds	2009	Mihalis Dafermos Kerstin E. Kunze Marc Mars Miguel Angel Vázquez-Mozo
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+	The red-shift effect and radiation decay on black hole spacetimes	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Decay of linear waves on higher-dimensional Schwarzschild black holes	2013	Volker Schlue
+	Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases \|a\| << M or axisymmetry	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
+ 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
+ PDF Chat	A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds	2011	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	THE BLACK HOLE STABILITY PROBLEM FOR LINEAR SCALAR PERTURBATIONS	2012	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The red‐shift effect and radiation decay on black hole spacetimes	2009	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Linear waves in the Kerr geometry: A mathematical voyage to black hole physics	2009	Felix Finster Niky Kamran Joel Smoller Shing‐Tung Yau
+ PDF Chat	Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes	2015	Jan Sbierski
+ PDF Chat	Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case	2017	Julián M. Fernández Tío Gustavo Dotti
+ PDF Chat	The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	2021	Gabriele Benomio
+ PDF Chat	None	2013
+	Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	2022	Mihalis Dafermos Gustav Holzegel Igor Rodnianski Martin Taylor
+	On pointwise decay of linear waves on a Schwarzschild black hole background	2009	Roland Donninger Wilhelm Schlag Avy Soffer

Works That Cite This (107)

Action	Title	Year	Authors
+ PDF Chat	On the Structure of the Ergosurface of Pomeransky-Senkov Black Rings	2011	Julien Cortier
+	Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds	2012	Stefanos Aretakis
+ PDF Chat	Linearized gravity and gauge conditions	2011	Steffen Aksteiner Lars Andersson
+	A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes	2016	Yannis Angelopoulos Stefanos Aretakis Dejan Gajic
+	Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior	2013	Lars Andersson Pieter Blue
+	Trends in Mathematics	2008	Ralph Meyer Thomas Schick Yuri Tschinkel
+ PDF Chat	The black hole stability problem for linear scalar perturbations	2010	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The wave equation on the extreme Reissner–Nordström black hole	2013	Sergio Dain Gustavo Dotti
+ PDF Chat	Uniqueness of the static Einstein–Maxwell spacetimes with a photon sphere	2015	Stoytcho S. Yazadjiev Boian Lazov
+	Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem	2010	Gustav Holzegel

Works Cited by This (31)

Action	Title	Year	Authors
+	Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry	2007	Johann Kronthaler
+ PDF Chat	Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem	2001	Hubert L. Bray
+	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
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski
+	The formation of black holes and singularities in spherically symmetric gravitational collapse	1991	Demetrios Christodoulou
+	Reversible and Irreversible Transformations in Black-Hole Physics	1970	Demetrios Christodoulou
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzschild Space	2006	Pieter Blue Jacob Sterbenz
+ PDF Chat	The interior of charged black holes and the problem of uniqueness in general relativity	2005	Mihalis Dafermos
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman