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The future apparent horizon of a black hole develops large stress energy due to quantum effects, unless the outgoing modes are in a thermal density matrix at the local Hawking temperature. It is shown for generic pure states that the…

High Energy Physics - Theory · Physics 2013-08-14 David A. Lowe , Larus Thorlacius

Four decades after its first postulation by Bekenstein, black hole entropy remains mysterious. It has long been suggested that the entanglement entropy of quantum fields on the black hole gravitational background should represent at least…

High Energy Physics - Theory · Physics 2013-01-17 Alejandro Satz , Ted Jacobson

The entropy for two-dimensional black holes is obtained through the entropy function with the condition that the geometry approaches an $AdS_2$ spacetime in the near horizon limit. It is shown that the entropy is universal and proportional…

High Energy Physics - Theory · Physics 2010-10-27 Seungjoon Hyun , Wontae Kim , John J. Oh , Edwin J. Son

It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is…

High Energy Physics - Theory · Physics 2009-10-31 V. Frolov , D. Fursaev

It is pointed out that the entropy of a membrane which is quantized perturbatively around a background position of fixed radius in a black hole spacetime is equal to the Bekenstein-Hawking entropy, if 1) the membrane surface is the horizon…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carsten Gundlach

Hawking showed that a black hole formed by collapse will emit radiation and eventually disappear. We address the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Bernard S. Kay

We investigate the microscopic origin of black hole entropy, in particular the gap between the maximum entropy of ordinary matter and that of black holes. Using curved space, we construct configurations with entropy greater than their area…

High Energy Physics - Theory · Physics 2008-11-26 Stephen D. H. Hsu , David Reeb

Based on the generalized uncertainty principle, we study the entropy of a four-dimensional black hole by counting degrees of freedom near the horizon and obtain the (finite) entropy proportional to the surface area at the horizon without a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Myungseok Yoon , Jihye Ha , Wontae Kim

The question of what is the total entropy of the universe, how it compares to the maximal entropy of de Sitter space, and how it is distributed across the universe's components, bears considerable importance for a number of reasons. Here,…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-23 Stefano Profumo , Liam Colombo-Murphy , Gabriela Huckabee , Maya Diaz Svensson , Stuti Garg , Ishan Kollipara , Alison Weber

In gravitational thermodynamics, the origin of a black hole's entropy is the topology of its instanton or constrained instanton. We prove that the entropy of an arbitrary nonrotating black hole is one quarter the sum of the products of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

The one-loop contribution to the entropy of a black hole from field modes near the horizon is computed in string theory. It is modular invariant and ultraviolet finite. There is an infrared divergence that signifies an instability near the…

High Energy Physics - Theory · Physics 2009-10-28 Atish Dabholkar

We discuss whether black hole entropy counts short or long range microstates in quantum gravity. In brick wall and induced gravity models the entropy arises due to short distance correlations across the event horizon cut off at the Planck…

High Energy Physics - Theory · Physics 2022-12-07 Erik P. Verlinde , Manus R. Visser

The Hamiltonian actions for extreme and non-extreme black holes are compared and contrasted and a simple derivation of the lack of entropy of extreme black holes is given. In the non-extreme case the wave function of the black hole depends…

High Energy Physics - Theory · Physics 2014-11-18 Claudio Teitelboim

We discuss the most interesting approaches to derivation of the Bekenstein-Hawking entropy formula from a statistical theory.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. O. Soloviev

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

It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of compact matter distributions (stars). This…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. David Brown

I describe how gravitational entropy is intimately connected with the concept of gravitational heat, expressed as the difference between the total and free energies of a given gravitational system. From this perspective one can compute…

General Relativity and Quantum Cosmology · Physics 2022-10-12 R. B. Mann

Adopting thin film brick-wall model, we calculate the entropy of a nonuniformly rectilinearly accelerating non-stationary black hole expressed by Kinnersley metric. Because the black hole is accelerated, the event horizon is axisymmetric.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 He Han , Zhao Zheng

The basic assumption of the induced gravity approach is that Einstein theory is an effective, low energy-form of a quantum theory of constituents. In this approach the Bekenstein-Hawking entropy S^{BH} of a black hole can be interpreted as…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. V. Fursaev

The concept of interior entropy of black hole provides a possible way to deal with information problem. We derive evolution relation between interior entropy and Bekenstein-Hawking entropy for a loop quantum-corrected black hole with large…

General Relativity and Quantum Cosmology · Physics 2025-01-16 Wei Zhang