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The BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Noether theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Fatibene , M. Ferraris , M. Francaviglia , M. Raiteri

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

We derive an exact expression for the partition function of the Euclidean BTZ black hole. Using this, we show that for a black hole with large horizon area, the correction to the Bekenstein-Hawking entropy is $-3/2 log(Area)$, in agreement…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. R. Govindarajan , R. K. Kaul , V. Suneeta

Using the fact that 2D Newton constant is wholly induced by a conformal field theory, we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

During the last few years, exact solutions that describe black holes that are bound to a two-brane in a four dimensional anti-de Sitter bulk have been constructed. In situations wherein there is a negative cosmological constant on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. K. Jassal , L. Sriramkumar

The black hole entropy has been observed to generically turn negative at exponentially low temperatures $T\sim e^{-S_0}$ in the extremal Bekenstein-Hawking entropy $S_0$, a seeming pathology often attributed to missing non-perturbative…

High Energy Physics - Theory · Physics 2024-09-17 Sergio Hernández-Cuenca

In the present paper, a new class of black hole solutions is constructed in even dimensional Lovelock Born-Infeld theory. These solutions are interesting since, in some respects, they are closer to black hole solutions of an odd dimensional…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Fabrizio Canfora , Alex Giacomini

In this paper, we calculated the entropy of the BTZ black hole in the framework of loop quantum gravity. We got the result that the horizon degrees of freedom can be described by the 2D SO(1,1) punctured BF theory. Finally we got the area…

General Relativity and Quantum Cosmology · Physics 2014-01-15 Jingbo Wang

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass…

High Energy Physics - Theory · Physics 2009-10-30 Sung-Won Kim , Won T. Kim , Young-Jai Park , Hyeonjoon Shin

We have considered the divergence structure in the brick-wall model for the statistical mechanical entropy of a quantum field in thermal equilibrium with a black hole which {\it rotates}. Especially, the contribution to entropy from…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeongwon Ho , Gungwon Kang

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

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

In Poincar\'e gauge theory, black hole entropy is defined canonically by the variation of a boundary term $\Gamma_H$, located at horizon. For a class of static and spherically symmetric black holes in vacuum, the explicit formula reads…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Milutin Blagojević , Branislav Cvetković

It has been suggested in the literature that, given a black hole spacetime, a relativistic membrane can provide an effective description of the horizon dynamics. In this paper, we explore such a framework in the context of a 2+1-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. J. M. Medved

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

We derive an exact formula for the dimensionality of the Hilbert space of the boundary states of SU(2) Chern-Simons theory, which, according to the recent work of Ashtekar et al, leads to the Bekenstein-Hawking entropy of a four dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Romesh K. Kaul , Parthasarathi Majumdar

Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outline the formalism of Hopf algebras and its connection to the algebra of infinitesimal diffeomorphisms. Using a Drinfeld…

High Energy Physics - Theory · Physics 2023-03-15 Tajron Jurić , Filip Požar

We investigate the connection between the BTZ black holes and the near-horizon geometry of higher-dimensional black holes. Under mild conditions, we show that (i) if a black hole has a global structure of the type of the non-extremal…

High Energy Physics - Theory · Physics 2016-08-25 Yuji Satoh

We consider the entropy of higher spin black holes in 2+1 dimensions using the conical singularity approach. By introducing a conical singularity along a non contractible cycle and carefully evaluating its contribution to the Chern Simons…

High Energy Physics - Theory · Physics 2015-06-12 Per Kraus , Tomonori Ugajin

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris