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In this paper we explore the idea that black holes can persist in a universe that collapses to a big crunch and then bounces into a new phase of expansion. We use a scalar field to model the matter content of such a universe {near the time}…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Timothy Clifton , Bernard Carr , Alan Coley

Quantum black holes are the smallest and heaviest conceivable elementary particles. They have a microscopic size but a macroscopic mass. Several fundamental types have been constructed with some remarkable properties. Quantum black holes in…

General Relativity and Quantum Cosmology · Physics 2009-08-20 Yuan K. Ha

The quantum statistics of charged, extremal black holes is investigated beginning with the hypothesis that the quantum state is a functional on the space of closed three-geometries, with each black hole connected to an oppositely charged…

High Energy Physics - Theory · Physics 2009-09-17 Andrew Strominger

In a recent series of papers we developed a first-principle and gauge invariant approach to black hole perturbation theory valid to any order. We included back reaction effects to tackle the situation of evaporating black holes and obtained…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jonas Neuser , Thomas Thiemann

We suggest a quantum black hole model that is based on an analogue to hydrogen atoms. A self-regular Schwarzschild-AdS black hole is investigated, where the mass density of the extreme black hole is given by the probability density of the…

High Energy Physics - Theory · Physics 2016-07-06 Chang Liu , Yan-Gang Miao , Yu-Mei Wu , Yu-Hao Zhang

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Berezin

Black holes are more than just odd-looking curiosities in gravity theory. They uniquely intertwine the basic principles of General Relativity with those of Quantum Theory. Just by demanding that they nevertheless obey acceptable laws of…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Gerard t Hooft

We derive a class of regular black holes from the proper-time renormalization group approach to asymptotically safe gravity. A central challenge is the robustness of physical predictions to the regularization scheme. We address this by…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Alfio Bonanno , Roman A. Konoplya , Giovanni Oglialoro , Andrea Spina

The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Berezin , A. M. Boyarsky. A. Yu. Neronov

Of course not, but if one believes that information cannot be destroyed in a theory of quantum gravity, then we run into apparent contradictions with quantum theory when we consider evaporating black holes. Namely that the no-cloning…

High Energy Physics - Theory · Physics 2019-04-09 Andrzej Grudka , Michael J. W. Hall , Michal Horodecki , Ryszard Horodecki , Jonathan Oppenheim , John A. Smolin

We develop a framework based on modern amplitude techniques to analyze emission and absorption effects in black hole physics, including Hawking radiation. We first discuss quantum field theory on a Schwarzschild background in the Boulware…

High Energy Physics - Theory · Physics 2026-01-30 Katsuki Aoki , Andrea Cristofoli , Hyun Jeong , Matteo Sergola , Kaho Yoshimura

In 1974 Jacob Bekenstein has noticed that the area of the black hole behaves as adiabatic invariant and hence most likely must be quantized in integers of the Planckian area. In these notes I will present the arguments which led him and…

History and Philosophy of Physics · Physics 2018-10-09 Viatcheslav Mukhanov

We point out that the celebrated Hawking effect of quantum instability of black holes seems to be related to a nonperturbative effect in string theory. Studying quantum dynamics of strings in the gravitational background of black holes we…

High Energy Physics - Theory · Physics 2010-11-01 Pawel Oskar Mazur

Semi-classical dilaton gravity in (1+1)-dimensions remains one of the only arenas where quantum black holes can be exactly constructed, fully accounting for backreaction due to quantum matter. Here we provide a comprehensive analysis of the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Jean Alexandre , Eleni-Alexandra Kontou , Diego Pardo Santos , Silvia Pla , Andrew Svesko

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

We discuss the most general effective Lagrangian obtained from the assumption that the degrees of freedom to be quantized, in a black hole, are on the horizon. The effective Lagrangian depends only on the induced metric and the extrinsic…

General Relativity and Quantum Cosmology · Physics 2010-11-01 A. Buonanno , M. Gattobigio , M. Maggiore , L. Pilo , C. Ungarelli

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

In this paper, we continue the analysis of the effective model of quantum Schwarzschild black holes recently proposed by some of the authors in [1,2]. In the resulting spacetime the central singularity is resolved by a black-to-white hole…

General Relativity and Quantum Cosmology · Physics 2022-02-28 Fabio M. Mele , Johannes Münch , Stratos Pateloudis