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A rigidity theorem that applies to smooth electrovac spacetimes which represent either (A) an asymptotically flat stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics was given…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Istvan Racz

We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Roberto Casadio , Andrea Giusti , Jorge Ovalle

It has long been suggested that solutions to linear scalar wave equation $$\Box_g\phi=0$$ on a fixed subextremal Reissner-Nordstr\"om spacetime with non-vanishing charge are generically singular at the Cauchy horizon. We prove that generic…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Jonathan Luk , Sung-Jin Oh

A novel perspective on defining black holes designed to be more broadly applicable outside of asymptotically flat spacetimes, in the context of classical general relativity, is presented, discussed, and characterized. The construction…

General Relativity and Quantum Cosmology · Physics 2023-06-06 James Wheeler

In this paper, we construct a class of collapsing spacetimes in vacuum without any symmetries. The spacetime contains a black hole region which is bounded from the past by the future event horizon. It possesses a Cauchy hypersurface with…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Junbin Li , He Mei

We study black holes produced by the collapse of a spherically symmetric charged scalar field in asymptotically flat space. We employ a late time expansion and show decaying fluxes of radiation through the event horizon imply the black hole…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Paul M. Chesler , Ramesh Narayan , Erik Curiel

It was long believed that the singularity inside a realistic, rotating black hole must be spacelike. However, studies of the internal geometry of black holes indicate a more complicated structure is typical. While it seems likely that an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patrick R Brady , Serge Droz , Sharon M Morsink

In our previous work [Van de Moortel, The breakdown of weak null singularities, Duke Mathematical Journal 172 (15), 2957-3012, 2023], we showed that dynamical black holes formed in charged spherical collapse generically feature both a null…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Maxime Van de Moortel

In this paper we analyse the stability of black hole Cauchy horizons arising in a class of 2d dilaton gravity models. It is shown that due to the characteristic asymptotic Rindler form of the metric of these models, time dependent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Fabbri

We study the Cauchy horizon (CH) singularity of a spherical charged black hole perturbed nonlinearly by a self-gravitating massless scalar field. We show numerically that the singularity is weak both at the early and at the late sections of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Lior M. Burko

We obtain an improved version of the area theorem for not necessarily differentiable horizons which, in conjunction with a recent result on the completeness of generators, allows us to prove that under the null energy condition every…

General Relativity and Quantum Cosmology · Physics 2015-07-28 E. Minguzzi

We construct a new class of plane-symmetric solutions possessing a curvature singularity which is null and weak, like the spacetime singularity at the Cauchy horizon of spinning (or charged) black holes. We then analyse the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amos Ori

Spacetimes which have been considered counter-examples to strong cosmic censorship are revisited. We demonstrate the classical instability of the Cauchy horizon inside charged black holes embedded in de Sitter spacetime for all values of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patrick R. Brady , Ian G. Moss , Robert C. Myers

We study numerically the evolution of spactime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of non-compact support. We use a very simplified toy model of a spherical charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

In our recent work [Van de Moortel, The coexistence of null and spacelike singularities inside spherically symmetric black holes], we analyzed the transition between null and spacelike singularities in spherically symmetric dynamical black…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Maxime Van de Moortel

A black hole is superentropic if it violates the reverse isoperimetric inequality. Recently, some studies have indicated that some four dimensional superentropic black holes have the null hypersurface caustics (NHC) outside their event…

High Energy Physics - Theory · Physics 2021-05-17 Di Wu , Puxun Wu

Recently, two of us have argued that non-Kerr black holes in gravity theories different from General Relativity may have a topologically non-trivial event horizon. More precisely, the spatial topology of the horizon of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2012-04-16 Cosimo Bambi , Francesco Caravelli , Leonardo Modesto

Recent work indicates that the strong cosmic censorship hypothesis is violated by nearly extremal Reissner-Nordstrom-de Sitter black holes. It was argued that perturbations of such a black hole decay sufficiently rapidly that the perturbed…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Oscar J. C. Dias , Felicity C. Eperon , Harvey S. Reall , Jorge E. Santos

Hawking has shown that if black holes were to exist in a universe that expands forever, black holes would completely evaporate, violating unitarity. I argue this means unitarity requires that the universe exist for only a finite future…

Astrophysics · Physics 2009-11-06 Frank J. Tipler