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The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Alexis Larranaga

We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a $D$-dimensional, non-critical bosonic string. We show that, for $D >2$, as a result of modular invariance the entropy is ultraviolet…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

With Carlip's boundary conditions, a standard Virasoro subalgebra with corresponding central charge for stationary dilaton black hole obtained in the low-energy effective field theory describing string is constructed at a Killing horizon.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jiliang Jing , Mu-Lin Yan

The Newman-Penrose formalism is used to derive the Teukolsky master equations controlling massless scalar, neutrino, electromagnetic, gravitino, and gravitational field perturbations of the Kerr-de Sitter spacetime. Then the quantum entropy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 S. Q. Wu , M. L. Yan

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

A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory.…

High Energy Physics - Theory · Physics 2012-08-09 Fang-Fang Yuan , Yong-Chang Huang

We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential $V(\phi)$. The condition of an…

High Energy Physics - Theory · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

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

In a recent paper [Entropy 2020, 22(1), 17] C. Tsallis states that entropy -- as in Shannon's or Kullback-Leiber's definitions -- is inadequate to interpret black hole entropy and suggests that a new non-additive functional should take the…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Pedro Pessoa , Bruno Arderucio Costa

Due to the attractor mechanism, the entropy of an extremal black hole does not vary continuously as we vary the asymptotic values of various moduli fields. Using this fact we argue that the entropy of an extremal black hole in string…

High Energy Physics - Theory · Physics 2009-11-11 Atish Dabholkar , Ashoke Sen , Sandip Trivedi

A string theory description of near extremal black rings is proposed. The entropy is computed and the thermodynamic properties are derived for a large family of black rings that have not yet been constructed in supergravity. It is also…

High Energy Physics - Theory · Physics 2009-11-11 Finn Larsen

It is shown that an arbitrarily small amount of angular momentum can qualitatively change the properties of extremal charged black holes coupled to a dilaton. In addition, the gyromagnetic ratio of these black holes is computed and an exact…

High Energy Physics - Theory · Physics 2008-11-26 James H. Horne , Gary T. Horowitz

Carlip has shown that the entropy of the three-dimensional black hole has its origin in the statistical mechanics of microscopic states living at the horizon. Beginning with a certain orthonormal frame action, and applying similar methods,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Richard J. Epp

By using the brick wall method we calculate the free energy and the entropy of the scalar field in the rotating black holes. As one approaches the stationary limit surface rather than the event horizon in comoving frame, those become…

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

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincar\'e gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Milutin Blagojević , Branislav Cvetković

We argue that the statistical entropy relevant for the thermal interactions of a black hole with its surroundings is (the logarithm of) the number of quantum microstates of the hole which are distinguishable from the hole's exterior, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli

Using the corrected expression of Hawking temperature derived from the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected entropy of a high…

High Energy Physics - Theory · Physics 2009-10-31 Tao Zhu , Ji-Rong Ren , Ming-Fan Li

We study the central charges and levels of a two-dimensional $N=(0,4)$ superconformal field theory describing four-dimensional BPS black holes in F-theory. These arise from D3-branes wrapping a curve in the base of an elliptically fibered…

High Energy Physics - Theory · Physics 2019-04-01 Thomas W. Grimm , Huibert het Lam , Kilian Mayer , Stefan Vandoren

A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the…

High Energy Physics - Theory · Physics 2009-10-22 Ted Jacobson , Robert C. Myers