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In AdS space the black hole horizon can be a hypersurface with a positive, zero or negative constant curvature, resulting in different horizon topology. Thermodynamics and stability of black holes in AdS spaces are quite different for…

High Energy Physics - Theory · Physics 2009-07-07 Rong-Gen Cai , Anzhong Wang

We study thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of these topological black holes can be a hypersurface…

High Energy Physics - Theory · Physics 2011-05-05 Rong-Gen Cai

We construct solutions of a model which includes the Gauss-Bonnet and Born-Infeld terms for various horizon topologies $(k=0, \pm 1)$, and then the mass, temperature, entropy and heat capacity of black holes are computed. For the sake of…

General Relativity and Quantum Cosmology · Physics 2011-10-04 De-Cheng Zou , Zhan-Ying Yang , Rui-Hong Yue , Peng Li

We explore the thermodynamics of a novel solution for the Reissner-Nordstr\"{o}m-Anti-de Sitter (AdS) black hole, uniquely incorporating the Gauss-Bonnet term. Unlike previous studies that primarily focused on standard General Relativity or…

General Relativity and Quantum Cosmology · Physics 2025-10-24 M. Z. Bhatti , Kazuharu Bamba , I. Siddique , Bander Almutairi , Z. Yousaf

We investigate the thermodynamics of Reissner-Nordstrom Gauss-Bonnet (RN-GB) black holes in anti-de Sitter (AdS) space with three horizon geometries (k=+1,0,-1) within the grand canonical ensemble. Using the recently developed topological…

High Energy Physics - Theory · Physics 2025-03-07 Imtak Jeon , Bum-Hoon Lee , Wonwoo Lee , Madhu Mishra

We study the stability of static, hyperbolic Gauss-Bonnet black holes in (4+1)-dimensional Anti-de-Sitter (AdS) space-time against the formation of scalar hair. Close to extremality the black holes possess a near-horizon topology of AdS_2 x…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Yves Brihaye , Betti Hartmann

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

We investigate the Gauss-Bonnet black hole in five dimensional anti-de Sitter spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which is characterized by the Gauss-Bonnet coupling $c$ and mass $M$, comparing with…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

We obtain an exact solution of $AdS$ black hole solution in Einstein-Gauss-Bonnet (EGB) gravity coupled with nonlinear electrodynamics. It interpolates with the $AdS$ regular black hole and $AdS$ EGB black hole in the absence of the…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Dharm Veer Singh , Vinod Kumar Bhardwaj , Sudhaker Upadhyay

We study black holes in AdS-like spacetimes, with the horizon given by an arbitrary positive curvature Einstein metric. A criterion for classical instability of such black holes is found in the large and small black hole limits. Examples of…

High Energy Physics - Theory · Physics 2014-11-18 Sean A. Hartnoll

We study the thermodynamic and gravitational stability of Kerr anti-de Sitter black holes in five and higher dimensions. We show, in the case of equal rotation parameters, $a_i=a$, that the Kerr-AdS background metrics become stable, both…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Benedict M. N. Carter , Ishwaree P Neupane

Here we have shown that asymptotically anti-de Sitter (AdS) black holes in the Einstein-Gauss-Bonnet (GB) theory are unstable under linear perturbations of spacetime in some region of parameters. This (eikonal) instability develops at high…

High Energy Physics - Theory · Physics 2017-05-17 R. A. Konoplya , A. Zhidenko

The local and global thermal phase structure for asymptotically anti-de Sitter black holes charged under an abelian gauge group, with both Gauss-Bonnet and quartic field strength corrections, is mapped out for all parameter space. We work…

High Energy Physics - Theory · Physics 2009-07-22 Dionysios Anninos , Georgios Pastras

We construct a new class of dyonic dilaton black hole solutions in the background of Anti-de Sitter (AdS) spacetime. In order to find an analytical solution which satisfy all the field equations, we should consider the string case where the…

High Energy Physics - Theory · Physics 2019-01-23 S. Hajkhalili , A. Sheykhi

Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime is unstable against the formation of black holes for a large class of arbitrarily small perturbations. We examine the effects of including a Gauss-Bonnet term. In…

High Energy Physics - Theory · Physics 2015-03-05 Nils Deppe , Allison Kolly , Andrew Frey , Gabor Kunstatter

We consider an Einstein-Gauss-Bonnet massive gravity model in $4D$ AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the vanishing metric function lead to various…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Sudhaker Upadhyay , Dharm Veer Singh

We study the thermodynamic properties associated with black hole horizon and cosmological horizon for the Gauss-Bonnet solution in de Sitter space. When the Gauss-Bonnet coefficient is positive, a locally stable small black hole appears in…

High Energy Physics - Theory · Physics 2009-11-10 Rong-Gen Cai , Qi Guo

In this paper, the new formalism of thermodynamic geometry proposed in [1] is employed in investigating phase transition points and the critical behavior of a Gauss Bonnet-AdS black hole in four dimensional spacetime. In this regard,…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Seyed Ali Hosseini Mansoori

The main objective of this paper is to study thermodynamics and stability of static electrically charged Born-Infeld black holes in AdS space in D=4. The Euclidean action for the grand canonical ensemble is computed with the appropriate…

High Energy Physics - Theory · Physics 2012-06-20 Sharmanthie Fernando

We investigate the heat properties of charged AdS black holes in the Gauss-Bonnet gravity coupled with nonlinear electrodynamics. We consider the thermodynamics of black holes from the perspective of heat capacity and show that the…

General Relativity and Quantum Cosmology · Physics 2023-04-11 Yang Guo , Yan-Gang Miao
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