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In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event horizon.
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Karl Schwarzschild · 1916
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Gunnar Nordström · 1918
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Hideo Kodama · 1980
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“Conformal invariance under spatial inversion of extreme Reissner-Nordström black holes”
W.. Couch and R.. Torrence · 1984
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Demetrios Christodoulou · 1999
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Demetrios Christodoulou · 2000
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“Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations”
Mihalis Dafermos · 2003
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“A proof of Price’s law for the collapse of a self-gravitating scalar field”
Mihalis Dafermos and Igor Rodnianski · 2005
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Pieter Blue · 2008
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“The red-shift effect and radiation decay on black hole spacetimes”
Mihalis Dafermos and Igor Rodnianski · 2009
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Stefanos Aretakis · 2010
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“A new physical-space approach to decay for the wave equation with applications to black hole spacetimes”
Mihalis Dafermos and Igor Rodnianski · 2010
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“Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations I”
Stefanos Aretakis · 2011
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“Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations II”
Stefanos Aretakis · 2011
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“Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds”
Stefanos Aretakis · 2012
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“Gravitational instability of an extreme Kerr black hole”
James Lucietti and Harvey Reall · 2012
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“On the local existence for the characteristic initial value problem in general relativity”
Jonathan Luk · 2012
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Mihalis Dafermos and Igor Rodnianski · 2013
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“The global structure of spherically symmetric charged scalar field spacetimes”
Jonathan Kommemi · 2013
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“On the horizon instability of an extreme Reissner-Nordström black hole”
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Keiju Murata, Harvey Reall and Norihiro Tanahashi · 2013
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“Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds”
Yannis Angelopoulos, Stefanos Aretakis and Dejan Gajic · 2020
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“Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes”
Yannis Angelopoulos, Stefanos Aretakis and Dejan Gajic · 2020
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“The linear stability of Reissner-Nordström spacetime for small charge”
Elena Giorgi · 2020
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“The linear stability of Reissner-Nordström spacetime: the full subextremal range | Q | < M |Q|<M ”
Elena Giorgi · 2020
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“Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes”
Rita Teixeira · 2020
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“The non-linear stability of the Schwarzschild family of black holes”, 2021
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