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In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse.
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“Gedanken experiments to destroy a black hole”
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“The problem of a self-gravitating scalar field”
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“Third law of black-hole dynamics: a formulation and proof”
W. Israel · 1986
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“The formation of black holes and singularities in spherically symmetric gravitational collapse”
Demetrios Christodoulou · 1991
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“Structure of singularities in the spherical gravitational collapse of a charged null fluid”
Kayll Lake and T Zannias · 1991
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“Charged null fluid and the weak energy condition”
Amos Ori · 1991
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“Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data”
G. Rein and A.. Rendall · 1992
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“Universality and scaling in gravitational collapse of a massless scalar field”
Matthew Choptuik · 1993
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Demetrios Christodoulou · 1993
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“Smooth static solutions of the spherically symmetric Vlasov-Einstein system”
Gerhard Rein and Alan Rendall · 1993
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“Examples of naked singularity formation in the gravitational collapse of a scalar field”
Demetrios Christodoulou · 1994
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“Static solutions of the spherically symmetric Vlasov-Einstein system”
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“General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions”
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“Phases of massive scalar field collapse”
Patrick Brady, Chris Chambers and Sergio Goncalves · 1997
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Gerhard Rein, Alan. Rendall and Jack Schaeffer · 1998
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“On the global initial value problem and the issue of singularities”
Demetrios Christodoulou · 1999
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“The instability of naked singularities in the gravitational collapse of a scalar field”
Demetrios Christodoulou · 1999
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“Overcharging a black hole and cosmic censorship”
Veronika Hubeny · 1999
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“Magnetic monopoles near the black hole threshold”
Arthur Lue and Erick Weinberg · 1999
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“Gravitational properties of monopole spacetimes near the black hole threshold”
Arthur Lue and Erick Weinberg · 2000
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“The global initial value problem in general relativity”
Demetrios Christodoulou · 2002
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“Global spherically symmetric solutions of non-linear wave equations with null condition on extremal Reissner-Nordström spacetimes”
Y. Angelopoulos · 2016
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“Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter”
Mihalis Dafermos and Alan. Rendall · 2016
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“On the existence of a maximal Cauchy development for the Einstein equations: a dezornification”
Jan Sbierski · 2016
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“Massless charged particles: Cosmic censorship, and the third law of black hole mechanics”
C Fairoos, Avirup Ghosh and Sudipta Sarkar · 2017
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Georgios Moschidis · 2017
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“Critical phenomena at the threshold of black hole formation for collisionless matter in spherical symmetry”
Ignacio Olabarrieta and Matthew. Choptuik · 2002
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“Local existence and continuation criterion for solutions of the spherically symmetric Einstein-Vlasov-Maxwell system”
P. Noundjeu and N. Noutchegueme · 2004
Cited alongside, same era.
“Existence of initial data satisfying the constraints for the spherically symmetric Einstein–Vlasov–Maxwell system”
Pierre Noundjeu, N Noutchegueme and Alan Rendall · 2004
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“On naked singularities and the collapse of self-gravitating Higgs fields”
Mihalis Dafermos · 2005
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“Spherically symmetric spacetimes with a trapped surface”
Mihalis Dafermos · 2005
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“The interior of charged black holes and the problem of uniqueness in general relativity”
Mihalis Dafermos · 2005
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“Gedanken experiments to destroy a black hole. II. Kerr-Newman black holes cannot be overcharged or overspun”
Jonathan Sorce and Robert. Wald · 2017
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“Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ \Lambda > 0”
Mihalis Dafermos and Yakov Shlapentokh-Rothman · 2018
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Georgios Moschidis · 2018
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“Stability and instability of the sub-extremal Reissner–Nordström black hole interior for the Einstein–Maxwell–Klein–Gordon equations in spherical symmetry”
Maxime Van · 2018
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“The interior of dynamical extremal black holes in spherical symmetry”
Dejan Gajic and Jonathan Luk · 2019
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“Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region”
Jonathan Luk and Sung-Jin Oh · 2019
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“Existence of static solutions of the Einstein-Vlasov-Maxwell system and the thin shell limit”
Maximilian Thaller · 2019
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“Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes”
Yannis Angelopoulos, Stefanos Aretakis and Dejan Gajic · 2020
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“A proof of the instability of AdS for the Einstein-null dust system with an inner mirror”
Georgios Moschidis · 2020
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“Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes”
Rita Teixeira · 2020
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“Rotating clouds of charged Vlasov matter in general relativity”
Maximilian Thaller · 2020
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“Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system”
Ellery Ames, Håkan Andréasson and Oliver Rinne · 2021
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“Existence of steady states of the massless Einstein-Vlasov system surrounding a Schwarzschild black hole”
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“The characteristic gluing problem for the Einstein equations and applications”, 2021
Stefanos Aretakis, Stefan Czimek and Igor Rodnianski · 2021
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“The non-linear stability of the Schwarzschild family of black holes”, 2021
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski and Martin Taylor · 2021
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“Static spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetime”
Fatima Jabiri · 2021
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Marios Apetroaie · 2022
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“Asymptotic properties of small data solutions of the Vlasov-Maxwell system in high dimensions”
Léo Bigorgne · 2022
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“Obstruction-free gluing for the Einstein equations”, 2022
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“Diophantine approximation as cosmic censor for Kerr-AdS black holes”
Christoph Kehle · 2022
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“Gravitational collapse to extremal black holes and the third law of black hole thermodynamics”
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“Critical phenomena in the collapse of gravitational waves”, 2023
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Igor Rodnianski and Yakov Shlapentokh-Rothman · 2023
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