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In a (2+1)-dimensional spacetime with a negative cosmological constant, the thermodynamics and the entropy of an extremal rotating thin shell, i.e., an extremal rotating ring, are investigated. The outer and inner regions are taken to be…

High Energy Physics - Theory · Physics 2017-02-23 José P. S. Lemos , Masato Minamitsuji , Oleg B. Zaslavskii

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS$_5$ black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then…

High Energy Physics - Theory · Physics 2020-01-08 Alejandro Cabo-Bizet , Davide Cassani , Dario Martelli , Sameer Murthy

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric…

High Energy Physics - Theory · Physics 2009-01-16 Sujoy Kumar Modak

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

Using a unified approach we study the entropy of extremal black holes through the entropy of an electrically charged thin shell. We encounter three cases in which a shell can be taken to its own gravitational or horizon radius and become an…

High Energy Physics - Theory · Physics 2016-05-04 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

The Bekenstein-Hawking (BH) entropy is expected to be modified by certain correction terms in the quantum loop expansion. As is well known the logarithmic terms in the entropy of black holes appear as a one-loop addition to the classical BH…

High Energy Physics - Theory · Physics 2020-01-29 Sergey N. Solodukhin

Asymptotically AdS rotating black holes for the Bergshoeff-Hohm-Townsend (BHT) massive gravity theory in three dimensions are considered. In the special case when the theory admits a unique maximally symmetric solution, apart from the mass…

High Energy Physics - Theory · Physics 2010-03-25 Gaston Giribet , Julio Oliva , David Tempo , Ricardo Troncoso

There is a debate as to what is the value of the the entropy $S$ of extremal black holes. There are approaches that yield zero entropy $S=0$, while there are others that yield the Bekenstein-Hawking entropy $S=A_+/4$, in Planck units. There…

High Energy Physics - Theory · Physics 2015-10-14 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For higher N supergravities we just give an…

High Energy Physics - Theory · Physics 2011-05-23 L. Andrianopoli , R. D'Auria

In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational…

High Energy Physics - Theory · Physics 2008-02-03 Stefano Liberati , Giuseppe Pollifrone

We generalize the entropy function formalism to five-dimensional and four-dimensional non-extremal black holes in string theory. In the near horizon limit, these black holes have BTZ metric as part of the spacetime geometry. It is shown…

High Energy Physics - Theory · Physics 2009-11-13 Rong-Gen Cai , Da-Wei Pang

In this paper, We conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

We consider the entropy of four-dimensional near-extremal N=2 black holes. Without R^2-terms, the Bekenstein-Hawking entropy formula has the structure of the extremal black holes entropy with a shift of the charges depending on the…

High Energy Physics - Theory · Physics 2011-06-08 Eyal Gruss , Yaron Oz

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view.…

High Energy Physics - Theory · Physics 2010-02-03 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

The quantum tunneling processes related to the black hole determine the black hole thermodynamics. The Hawking temperature is determined by the quantum tunneling processes of radiation of particles from the black hole. On the other hand,…

General Physics · Physics 2024-12-17 G. E. Volovik

The thermodynamic equilibrium states of a static thin ring shell in a (2+1)-dimensional spacetime with a negative cosmological constant are analyzed. Inside the ring, the spacetime is pure anti-de Sitter (AdS), whereas outside it is a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 José P. S. Lemos , Gonçalo M. Quinta

In this paper we obtain logarithmic corrections to the black hole entropy. Motivated by our recent proposal concerning the nature of the degrees of freedom leading to the black hole entropy in terms of a Bose Einstein (BEC) condensate of…

High Energy Physics - Theory · Physics 2026-02-12 Stefano Viaggiu

We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this…

High Energy Physics - Theory · Physics 2015-06-05 L. Bonora , M. Cvitan , P. Dominis Prester , S. Pallua , I. Smolic

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

High Energy Physics - Theory · Physics 2018-11-28 Thomas C. Bachlechner

We shall try to exhibit a relation between black hole entropy and topological entropy using the famous Baum-Connes conjecture for foliated manifolds which are particular examples of noncommutative spaces. Our argument is qualitative and it…

Mathematical Physics · Physics 2008-11-26 Ioannis P. Zois