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Determining the conditions under which a black hole can be produced is a long-standing and fundamental problem in general relativity. We use numerical simulations of colliding selfgravitating fluid objects to study the conditions of…

General Relativity and Quantum Cosmology · Physics 2012-12-13 Luciano Rezzolla , Kentaro Takami

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Arguments for black hole formation in collisions of high-energy particles have rested on the emergence of a closed trapped surface in the classical geometry of two colliding Aichelburg-Sexl solutions. Recent analysis has, however, shown…

High Energy Physics - Theory · Physics 2009-11-10 Steven B. Giddings , Vyacheslav S. Rychkov

The standard approach of counting the number of eigenmodes of $N$ scalar fields near the horizon is used as a basis to provide a simple statistical mechanical derivation of the black hole entropy in two and four dimensions. The Bekenstein…

High Energy Physics - Theory · Physics 2009-10-28 J. G. Russo

The entropy of the four dimensional Schwarzschild black hole is derived by mapping it onto a configuration of intersecting branes with four charges. This configuration is obtained by performing several boosts and dualities on a neutral…

High Energy Physics - Theory · Physics 2009-10-31 R. Argurio , F. Englert , L. Houart

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

Starting from a quantization relation for primordial extremal black holes with electric and magnetic charges, it is shown that their entropy is quantized. Furthermore the energy levels spacing for such black holes is derived as a function…

High Energy Physics - Theory · Physics 2015-06-15 Gerardo Cristofano , Giuseppe Maiella , Cosimo Stornaiolo

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Strominger

Newtonian gravitation with some slight modifications, along with some highly simplified ideas from quantum field theory allow us to reproduce, at least at the level of back-of-the-envelope calculations, many results of black hole physics.…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

We focus on the entropy relations of black holes in three, four and higher dimensions. These entropy relations include entropy product, "part" entropy product and entropy sum. We also discuss their differences and similarities, in order to…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Xin-he Meng , Wei Xu , Jia Wang

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

High Energy Physics - Theory · Physics 2008-02-03 V. Frolov

We model a black hole spacetime as a causal set and count, with a certain definition, the number of causal links crossing the horizon in proximity to a spacelike or null hypersurface $\Sigma$. We find that this number is proportional to the…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Djamel Dou , Rafael D. Sorkin

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

In this paper we calculate the entropy of a thin spherical shell that contracts reversibly from infinity down to its event horizon. We find that, for a broad class of equations of state, the entropy of a non-extremal shell is one-quarter of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 F. Pretorius , D. Vollick , W. Israel

Black hole entropy appears to be ``universal''--many independent calculations, involving models with very different microscopic degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We present a microscopic statistical-mechanical foundation for interpreting the horizon area of a scrambling black hole as coherent information, equivalently negative conditional quantum entropy, in Hawking's pair-creation picture. We…

High Energy Physics - Theory · Physics 2026-05-26 Koji Azuma

A reformulation of the calculation of the semi-classical energy-momentum tensor on a Schwarzschild background, the Bousso covariant entropy bound, and the ER=EPR conjecture of Maldacena and Susskind taken together suggest a scenario for the…

General Relativity and Quantum Cosmology · Physics 2014-06-17 James M. Bardeen

Black holes contain more entropy than any other component of the observable universe. Gravitational-wave observations from LIGO and Virgo have shown evidence of a previously unknown black hole mass range, which provides new information to…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Siyuan Chen , Karan Jani , Thomas W. Kephart