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As a mysterious celestial body predicted by General Relativity, black holes have been confirmed by observations in recent years. But there are still many unknown properties waiting for us to discover, one of the famous problems is the…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Ruifeng Zheng , Taotao Qiu

This work proposes a set of equations that can be used to numerically compute spacetimes containing a stationary black hole. The formalism is based on the 3+1 decomposition of General Relativity with maximal slicing and spatial harmonic…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Philippe Grandclément , Jordan Nicoules

After introducing the gravitational decoupling method and the hairy black hole recently derived from it, we investigate the formation of quantum hairy black holes by applying the horizon quantum mechanics formalism. It enables us to…

General Relativity and Quantum Cosmology · Physics 2023-01-03 R. T. Cavalcanti , J. M. Hoff da Silva

Relativity and quantum mechanics are generalized by considering a finite limit for the smallest measurable distance. The value a of this quantum of length is unknown, but it is a universal constant, like c and h. It depends on the total…

General Physics · Physics 2011-08-25 A. Meessen

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

We show by explicit computations that the product of all the horizon areas is independent of the mass, regardless of the topology of the horizons. The universal character of this relation holds for all known five dimensional asymptotically…

High Energy Physics - Theory · Physics 2013-05-30 Alejandra Castro , Maria J. Rodriguez

We systematically study black holes in the Horava-Lifshitz (HL) theory by following the kinematic approach, in which a horizon is defined as the surface at which massless test particles are infinitely redshifted. Because of the…

High Energy Physics - Theory · Physics 2015-05-28 Jared Greenwald , Jonatan Lenells , J. X. Lu , V. H. Satheeshkumar , Anzhong Wang

We discuss the possibility that quantum black holes have discrete mass spectrum. Different arguments leading to this conclusion are considered, particularly the decoupling between left and right sectors in string theory - the so-called…

High Energy Physics - Theory · Physics 2007-05-23 Ian I. Kogan

Theories of gravity with a preferred foliation usually display arbitrarily fast signal propagation, changing the black hole definition. A new inescapable barrier, the universal horizon, has been defined and many static and spherically…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Alan Maciel

Holographic theories representing black holes are expected to exhibit quantum chaos. We argue if the laws of quantum mechanics are expected to hold for observers inside such black holes, then such holographic theories must have a mean field…

High Energy Physics - Theory · Physics 2018-02-14 David A. Lowe , Larus Thorlacius

Everybody knows what the classical black holes are. In short, this is a spacetime region beyond the so-called event horizon. The notion of the event horizon is mathematically well defined. The situation with a definition of quantum black…

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

Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Martin Bojowald

Area products for multi-horizon stationary black holes often have intriguing properties, and are often (though not always) independent of the mass of the black hole itself (depending only on various charges, angular momenta, and moduli).…

High Energy Physics - Theory · Physics 2013-08-19 Matt Visser

Quantum fluctuations of the spacetime metric induce an uncertainty in the horizon area of a black hole. Working in linearized quantum gravity, we derive the variance in the area of a four-dimensional Schwarzschild black hole from the…

High Energy Physics - Theory · Physics 2025-08-05 Maulik Parikh , Jude Pereira

Penrose's singularity theorem implies that if a trapped region forms in a gravitational collapse, then a singularity must form as well within such region. However, it is widely expected that singularities should be generically avoided by…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

The existence of light rings in a spacetime is closely related to the existence of black hole horizons and observables such as the ringdown and the shadow. Black holes, compared to nonvacuum ultracompact objects, have rather unique…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Aydin Tavlayan , Bayram Tekin

There is growing evidence that Ho\v{r}ava gravity may be a viable quantum theory of gravity. It is thus legitimate to expect that gravitational collapse in the full, non-projectable version of the theory should result in geometries that are…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Jacopo Mazza , Stefano Liberati

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Sebastian Murk , Daniel R. Terno

The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Wenbin Feng , Andrea Giusti , Roberto Casadio

Non-rotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashok Chatterjee , Parthasarathi Majumdar