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To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

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

A brief overview of the discovery that macroscopic black holes are thermodynamical systems is presented. They satisfy the laws of thermodynamics and are associated with a temperature and an entropy equal to one quarter of their horizon area…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Alejandro Perez

We investigate the possibility of statistical explanation of the black hole entropy by counting quasi-bounded modes of thermal fluctuation in two dimensional black hole spacetime. The black hole concerned is quantum in the sense that it is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Y. Itoh , M. Hotta , T. Futamase , M. Morikawa

We have known for more than thirty years that black holes behave as thermodynamic systems, radiating as black bodies with characteristic temperatures and entropies. This behavior is not only interesting in its own right; it could also,…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Steven Carlip

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To…

High Energy Physics - Theory · Physics 2020-07-01 M. M. Stetsko

A six-dimensional black string is considered and its Bekenstein-Hawking entropy computed. It is shown that to leading order above extremality, this entropy precisely counts the number of string states with the given energy and charges. This…

High Energy Physics - Theory · Physics 2009-09-17 Gary Horowitz , Andrew Strominger

We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter $\gamma$. This construction deeply relies on the link between black holes and…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Jibril Ben Achour , Amaury Mouchet , Karim Noui

In recent papers we had developed a unified picture of black hole entropy and curvature which was shown to lead to Hawking radiation. It was shown that for any black hole mass, holography implies a phase space of just one quantum associated…

General Physics · Physics 2012-02-08 C. Sivaram , Kenath Arun

In the present paper we consider, using our earlier results, the process of quantum gravitational collapse and argue that there exists the final quantum state when the collapse stops. This state, which can be called the ``no-memory state'',…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Victor Berezin

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 behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

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

We calculate the entropies of the system of classical particles and a quantum scalar field by using the brick wall method in thermal bath in a charged Kerr black hole spacetime. Their leading terms at Hartle-Hawking temperature $T_H =…

High Energy Physics - Theory · Physics 2009-10-30 Min-Ho Lee , Jae Kwan Kim

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining thermalization of isolated quantum many-body systems. However, there has been no proof of the ETH in realistic systems due to the difficulty in the theoretical…

Statistical Mechanics · Physics 2024-10-25 Yuuya Chiba , Yasushi Yoneta

We propose that a large Schwarzschild black hole (BH) is a bound state of highly excited, long, closed strings at the Hagedorn temperature. The size of the bound state is smaller than the string random-walk scale and determined dynamically…

High Energy Physics - Theory · Physics 2017-04-26 Ram Brustein , A. J. M. Medved

Taking seriously the interpretation of black hole entropy as the logarithm of the number of microstates, we argue that thermal gravitons may undergo a phase transition to a kind of black hole condensate. The phase transition proceeds via…

High Energy Physics - Theory · Physics 2009-11-11 Stephen D. H. Hsu , Brian M. Murray

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

High Energy Physics - Theory · Physics 2020-07-15 David A Lowe , Mengyang Tong

Black hole entropy is derived from a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown

A coherent picture of the quantum mechanics of a collapse-formed, evaporating black hole is presented. In a distant frame, semiclassical theory in the zone describes microscopic dynamics of only the "hard modes," the modes that are hard…

High Energy Physics - Theory · Physics 2019-04-17 Yasunori Nomura

I review the recent progress in providing a statistical foundation for black hole thermodynamics. In the context of string theory, one can now identify and count quantum states associated with black holes. One can also compute the analog of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Gary T. Horowitz

The entropy increases enormously when a star collapses into a black hole. This entropy increase is interpreted as the decrease of the temperature due to the increase of the volume. Through these investigation the microscopic states of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tetsuya Hara , Keita Sakai , Daigo Kajiura