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Classically, black holes admit maximal interior volumes that grow asymptotically linearly in time. We show that such volumes remain large when Hawking evaporation is taken into account. Even if a charged black hole approaches the extremal…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Yen Chin Ong

We study the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent horizon, a Cauchy horizon and a final central singularity. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod , Tsvi Piran

Kerr-Schild solutions of the Einstein-Maxwell field equations, containing semi-infinite axial singular lines, are investigated. It is shown that axial singularities break up the black hole, forming holes in the horizon. As a result, a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

We review some properties of black hole structures appearing in gravity with a massless scalar field, with both minimal and nonminimal coupling. The main properties of the resulting cold black holes are described. The study of black holes…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Kirill A. Bronnikov , Júlio C. Fabris , Denis C. Rodrigues

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

It is standard assertion in relativity that, subject to an energy condition and the cosmic censorship hypothesis, closed trapped surfaces are not visible from future null infinity. A proof given by Hawking & Ellis in ''The Large Scale…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clarissa-Marie Claudel

We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The…

High Energy Physics - Theory · Physics 2015-10-13 Ignacio J. Araya , Itzhak Bars , Albin James

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the…

High Energy Physics - Theory · Physics 2017-04-04 Stefan Hofmann , Marc Schneider

What happens at spacetime singularities is poorly understood. The Penrose-Wall singularity theorem constrains possible scenarios, but until recently its key assumption--the generalized second law (GSL)--had only been proven perturbatively,…

High Energy Physics - Theory · Physics 2025-10-31 Arvin Shahbazi-Moghaddam

In recent years there has been some progress in the understanding of the global structure of stationary black hole space-times. In this paper we review some new results concerning the structure of stationary black hole space-times. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chruściel

We show that extremal Kerr black holes are sensitive probes of new physics. Stringy or quantum corrections to general relativity are expected to generate higher-curvature terms in the gravitational action. We show that in the presence of…

High Energy Physics - Theory · Physics 2024-07-11 Gary T. Horowitz , Maciej Kolanowski , Grant N. Remmen , Jorge E. Santos

We offer a mathematically rigorous basis for the widely held suspicion that full black hole evaporation is in tension with predictability. Based on conditions expressing the global causal structure of evaporating black hole spacetimes, we…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Martin Lesourd

The global hyperbolicity assumption present in gravitational collapse singularity theorems is in tension with the quantum mechanical phenomenon of black hole evaporation. In this work I show that the causality conditions in Penrose's…

General Relativity and Quantum Cosmology · Physics 2020-08-31 E. Minguzzi

We examine particle production from spherical bodies collapsing into extremal Reissner-Nordstr\"om black holes. Kruskal coordinates become ill-defined in the extremal case, but we are able to find a simple generalization of them that is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Liberati , T. Rothman , S. Sonego

The recently proved `no short hair' theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesic (the "photonsphere") of the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Shahar Hod

Using the synchronous coordinates, the creation of a Schwarzschild black hole immersed in a de Sitter spacetime can be viewed as a coherent creation of a collection of timelike geodesics. The previously supposed conical singularities do not…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Zhong Chao Wu

After reviewing the shortcomings of existing definitions used to characterize the boundary of a black hole, we present a new method for its characterization. This definition could potentially be applied to locate the boundary of general…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Pravin Kumar Dahal

Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We derive the black hole solutions with horizons of non-trivial topology and investigate their properties in the framework of an approach to quantum gravity being an extension of Bohm's formulation of quantum mechanics. The solutions we…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Kowalski-Glikman , D. Nowak-Szczepaniak
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