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We study the properties of anti--de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k=0, \pm 1) and for various dimensions, with emphasis on the less well understood k=-1 solution. We find that the zero…

High Energy Physics - Theory · Physics 2009-11-10 Ishwaree P. Neupane

We find that AdS spacetime with a non-trivial linear dilaton field is an exact solution in the effective action of string theory, which is described by gravity with the Gauss-Bonnet curvature terms coupled to a dilaton field in the string…

High Energy Physics - Theory · Physics 2015-03-17 Kei-ichi Maeda , Nobuyoshi Ohta , Yukinori Sasagawa

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko

The correspondence between supergravity (and string theory) on $AdS$ space and boundary conformal field theory relates the thermodynamics of ${\cal N}=4$ super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss-Bonnet gravity in low dimensions. In this paper, we test the Gauss-Bonnet gravity by studying the phase transition and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Shao-Wen Wei , Yu-Xiao Liu

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

In this paper, we investigate the thermodynamics of D-dimensional charged Gauss-Bonnet black holes in anti-de Sitter spacetime. Varying the cosmological constant, Newton constant and Gauss-Bonnet coupling constant in the bulk, one can…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Yang Qu , Jun Tao , Huan Yang

This paper investigates charged black holes within the framework of quintic quasi-topological gravity, focusing on their thermodynamics, conserved quantities, and stability. We construct numerical solutions and explore their thermodynamic…

General Relativity and Quantum Cosmology · Physics 2023-12-05 A. R. Olamaei , A. Bazrafshan , M. Ghanaatian

We consider leading order quantum corrections to the geometry of large AdS black holes in a spherical reduction of four-dimensional Einstein gravity with negative cosmological constant. The Hawking temperature grows without bound with…

High Energy Physics - Theory · Physics 2009-06-19 Samuli Hemming , Larus Thorlacius

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the…

High Energy Physics - Theory · Physics 2009-10-31 Marco M. Caldarelli , Guido Cognola , Dietmar Klemm

We develop a general framework for interpreting the thermodynamic descriptions of Kerr-anti de Sitter black holes (KadS). These descriptions satisfy a first law and respect the homogeneity required by scaling properties. Additionally, they…

General Relativity and Quantum Cosmology · Physics 2026-05-19 T. L. Campos , M. C. Baldiotti , C. Molina

We study black hole solutions in the Einstein-Gauss-Bonnet gravity with the dilaton and a negative ``cosmological constant''. We derive the field equations for the static spherically symmetric ($k=1$) and hyperbolically symmetric ($k=-1$)…

High Energy Physics - Theory · Physics 2009-08-11 Nobuyoshi Ohta , Takashi Torii

We show that the addition of a topological Gauss-Bonnet term to the gravitational action can greatly increase the instability of four-dimensional de Sitter space, by favoring the nucleation of black holes. The pair-production rate given by…

High Energy Physics - Theory · Physics 2011-09-12 Maulik K. Parikh

We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein equations. We focus on the theory in four dimensions, in presence of negative cosmological constant,…

High Energy Physics - Theory · Physics 2018-09-12 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

We give a review of the existence of Taub-NUT/bolt solutions in Einstein Gauss-Bonnet gravity with the parameter $\alpha $ in six dimensions. Although the spacetime with base space $S^{2}\times S^{2}$ has curvature singularity at $r=N$,…

High Energy Physics - Theory · Physics 2009-02-20 A. Khodam-Mohammadi , M. Monshizadeh

A modification of the hedgehog ansatz has recently led to novel exact black hole solutions with selfgravitating SU(2) Skyrme fields. Considering a negative cosmological constant the black holes are not asymptotically anti-de Sitter (AdS)…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Daniel Flores-Alfonso , Hernando Quevedo

We resolve the controversial issue of the geometric approach to the black hole thermodynamics. The geometric description of the equilibrium thermodynamics comes from Ruppeiner geometry based on a metric on the thermodynamic state space. For…

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

We construct a new class of asymptotically (a)dS black hole solutions of Einstein-Yang-Mills massive gravity in the presence of Born-Infeld nonlinear electrodynamics. The obtained solutions possess a Coulomb electric charge, massive term…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Seyed Hossein Hendi , Mehrab Momennia

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

An interpretation to the physics of stable geodesics of massive particles in black hole backgrounds has been recently proposed in the context of the AdS/CFT correspondence. It was argued that the existence of stable orbits indicates that…

General Relativity and Quantum Cosmology · Physics 2020-12-29 R. A. Konoplya , A. Zhidenko
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