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A precise definition of a black hole has long been absent in causal set theory. I first show that the local finiteness of the theory cannot be interpreted as a complete discretization condition, and the theory still admits continua, which I…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Yu Asato

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

General Relativity and Quantum Cosmology · Physics 2009-09-21 Gerard 't Hooft

We investigate what are the key physical features that cause the development of a naked singularity, rather than a black hole, as the end-state of spherical gravitational collapse. We show that sufficiently strong shearing effects near the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Pankaj S. Joshi , Naresh Dadhich , Roy Maartens

Th spontaneous scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is performed in the EEH-scalar theory by introducing an exponential scalar coupling (with $\alpha$ coupling constant) to the Maxwell term.Here, the EEH black…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Lina Zhang , De-Cheng Zou , Yun Soo Myung

It is widely expected that generic black holes have a non-empty but weakly singular Cauchy horizon, due to mass inflation. Indeed this has been proven by the author in the spherical collapse of a charged scalar field, under decay…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Maxime Van de Moortel

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

In recent works, a construction was proposed resulting emergent universes inside black holes. This result can be obtained from a 4D black hole embedded in a 5D space time with the fifth dimension compactified on a circle [0, 2] (0 and 2 are…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Poula Tadros , Mohamed Assaad Abdel-Raouf

Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Cosimo Bambi

We study thermodynamic quantities and phase transitions of a spherically symmetric Schwarzschild black hole by taking into account the back reaction through the conformal anomaly of matter fields, and show that there exists an additional…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Edwin J. Son , Wontae Kim

An analogue of the Oppenheimer-Synder collapsing model is treated analytically, where the matter source is a scalar field with an exponential potential. An exact solution is derived followed by matching to a suitable exterior geometry, and…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Soumya Chakrabarti

In this paper, we observe the collapse of a mass-less scalar field covariantly. We show that the strengths of the collapsing and dispersing modes of this scalar field will decide whether the collapse will end up in a black-hole or disperse.…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Koushiki , Rituparno Goswami , Pankaj S. Joshi

Due to the accelerated expansion of the universe, the possibility of formation of singularities has changed from the classical Big Bang and Big Crunch singularities to include a number of new scenarios. In recent papers it has been shown…

General Relativity and Quantum Cosmology · Physics 2021-12-15 L. Fernández-Jambrina

Static spherically symmetric solutions of the Einstein-Maxwell gravity with the dilaton field are described. The solutions correspond to black holes and are generalizations of the previously known dilaton black hole solution. In addition to…

High Energy Physics - Theory · Physics 2008-11-26 Malik Rakhmanov

A promising strategy for better understanding space and time at the Planck scale, is outlined and further pursued. It is explained in detail, how black hole unitarity demands the existence of transformations that can remove firewalls. This…

General Relativity and Quantum Cosmology · Physics 2017-09-12 Gerard t Hooft

We review uniqueness theorems as well as other general results about higher dimensional black hole spacetimes. This includes in particular theorems about the topology of higher dimensional spacetimes, theorems about their symmetries…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Stefan Hollands , Akihiro Ishibashi

We examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Xuefeng Zhang , H. Lu

Black hole spacetimes contain several geometrically distinguished hypersurfaces, including event and Cauchy horizons, stationary-limit surfaces, curvature singularities, and asymptotic infinity. These structures are usually identified by…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Cagdas Ulus Agca , Bayram Tekin

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Oleg A. Fonarev

We propose that black holes are \emph{soliton-esque} objects, where gravitational collapse is balanced by quantum vacuum dispersion, modeled via \(R+\alpha R^{2}\) gravity. Classical singularities are replaced by oscillating, finite-radius…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Eren Erberk Erkul

I describe the general mathematical construction and physical picture of topological black holes, which are black holes whose event horizons are surfaces of non-trivial topology. The construction is carried out in an arbitrary number of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Mann