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In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

Taking the horizon surface of the black hole as a compact membrane and solving the oscillation equation of this membrane by Klein-Gordon equation, we derive the frequencies of oscillation modes of the horizon surface, which are proportional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhao Ren , Li Huaifan , Zhang Shengli

On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of…

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

The issues of holography and possible links with gauge theories in spacetime physics is discussed, in an approach quite distinct from the more restricted AdS-CFT correspondence. A particular notion of holography in the context of black hole…

General Relativity and Quantum Cosmology · Physics 2009-08-20 Parthasarathi Majumdar

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

The concept of black hole entropy is one of the most important enigmas of theoretical physics. It relates thermodynamics to gravity and allows substantial hints toward a quantum theory of gravitation. Although Bekenstein conjecture…

High Energy Physics - Theory · Physics 2008-11-26 Aurelien Barrau , Julien Grain , Carole Weydert

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details…

General Relativity and Quantum Cosmology · Physics 2008-10-07 Vladan Pankovic , Simo Ciganovic , Jovan Ivanovic

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

The quantized area predicted by loop quantum gravity suggests the existence of a lower bound for black-hole horizons. We prove this intuition within a covariant effective model for spherical loop quantum gravity, where nonsingular…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Asier Alonso-Bardaji

Entropy of all systems that we understand well is proportional to their volumes except for black holes given by their horizon area. This makes the microstates of any quantum theory of gravity drastically different from the ordinary matter.…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Ali Masoumi

We calculate the entropy of spherically symmetric regular black holes by the path integral and Noether-charge method. Both methods provide an evidence that the entropy of regular black holes should be proportional to quarter of area, and…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Chen Lan , Yan-Gang Miao

We derive black hole entropy based on the near-horizon symmetries of black hole space-times. To derive these symmetries we make use of an $(R,T)$-plane close to a Killing horizon. We identify a set of vector fields that preserves this plane…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Olaf Dreyer , Amit Ghosh , Avirup Ghosh

We argue that the entropy of a black hole is due to the entanglement of matter fields and gravitons across the horizon. While the entanglement entropy of the vacuum is divergent because of UV correlations, we show that low-energy…

General Relativity and Quantum Cosmology · Physics 2013-01-08 Eugenio Bianchi

What is the nature of the energy spectrum of a black hole ? The algebraic approach to black hole quantization requires the horizon area eigenvalues to be equally spaced. As stressed long ago by by Mukhanov, such eigenvalues must be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jacob D. Bekenstein , Gilad Gour

We present a derivation of the entropy of black holes in induced gravity models based on conformal properties of induced gravity constituents near the horizon. The four-dimensional (4D) theory is first reduced to a tower of two-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 V. Frolov , D. Fursaev , A. Zelnikov

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

The combinatorial problem of counting the black hole quantum states within the Isolated Horizon framework in Loop Quantum Gravity is analyzed. A qualitative understanding of the origin of the band structure shown by the degeneracy spectrum,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Agullo , Jacobo Diaz-Polo , Enrique Fernandez-Borja

There have been many attempts to understand the statistical origin of black-hole entropy. Among them, entanglement entropy and the brick wall model are strong candidates. In this paper, first, we show that the entanglement approach reduces…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shinji Mukohyama