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Whereas the usual understanding is that the entropy of only a non-extremal black hole is given by the area of the horizon, there are derivations of an area law for extremal black holes in some model calculations. It is explained here how…

High Energy Physics - Theory · Physics 2009-10-30 A. Ghosh , P. Mitra

We compute the entanglement entropy of minimally coupled scalar fields on subtracted geometry black hole backgrounds, focusing on the logarithmic corrections. We notice that matching between the entanglement entropy of original black holes…

High Energy Physics - Theory · Physics 2015-06-22 Mirjam Cvetic , Zain H. Saleem , Alejandro Satz

The quantum contribution of a scalar field to entropy of a dilatonic black hole is calculated in the brick wall model by the WKB method and analyzed by a high-temperature expansion. If the cutoff distance from the horizon approaches zero,…

High Energy Physics - Theory · Physics 2013-03-21 Kiyoshi Shiraishi

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the…

High Energy Physics - Theory · Physics 2009-10-28 Ichiro Oda

Recently, Carlip proposed a derivation of the entropy of the two-dimensional dilatonic black hole by investigating the Virasoro algebra associated with a newly introduced near-horizon conformal symmetry. We point out not only that the…

High Energy Physics - Theory · Physics 2014-11-18 Gungwon Kang , Jun-ichirou Koga , Mu-In Park

We discuss some issues related to the computation of black hole entropy in loop quantum gravity from the novel point of view provided by the recent number-theoretical methods introduced by the authors and their collaborators. In particular…

General Relativity and Quantum Cosmology · Physics 2010-05-19 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 P. Mitra

We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed by the action of the relatistic bosonic membrane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

We consider the most general higher order corrections to the pure gravity action in $D$ dimensions constructed from the basis of the curvature monomial invariants of order 4 and 6, and degree 2 and 3, respectively. Perturbatively solving…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Matyjasek , Malgorzata Telecka , Dariusz Tryniecki

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We…

High Energy Physics - Theory · Physics 2008-11-26 Ikuo Ichinose , Yuji Satoh

Calculations of black hole entropy based on the counting of modes of a quantum field propagating in a Schwarzschild background need to be regularized in the vicinity of the horizon. To obtain the Bekenstein-Hawking result the short distance…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Michele Arzano , Stefano Bianco , Olaf Dreyer

Black holes in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Jonathan Engle , Karim Noui , Alejandro Perez

Different methods of calculation of quantum corrections to the thermodynamical characteristics of a black hole are discussed and compared. The relation between on-shell and off-shell approaches is established. The off-shell methods are used…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

A black hole solution of Einstein's field equations with cylindrical symmetry is found. Using the Hamiltonian formulation one is able to define mass and angular momentum for the cylindrical black hole through the corresponding and…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jose' P. S. Lemos

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its…

High Energy Physics - Theory · Physics 2016-08-24 Sergey Solodukhin

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

We use group theoretic methods to obtain the extended Lie point symmetries of the quantum dynamics of a scalar particle probing the near horizon structure of a black hole. Symmetries of the classical equations of motion for a charged…

High Energy Physics - Theory · Physics 2010-10-27 K. Maharana

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