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Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , S. Panahiyan , E. Mahmoudi

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 present exact analytical black hole solutions with conformal anomaly in AdS space and discuss the thermodynamical properties of these black hole solutions. These black holes can have a positive, zero and negative constant curvature…

High Energy Physics - Theory · Physics 2014-05-07 Rong-Gen Cai

We study some exact solutions in a $D(\ge4)$-dimensional Einstein-Born-Infeld theory with a cosmological constant. These solutions are asymptotically de Sitter or anti-de Sitter, depending on the sign of the cosmological constant. Black…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Da-Wei Pang , Anzhong Wang

Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with Born-Infeld…

High Energy Physics - Theory · Physics 2017-01-19 S. H. Hendi , B. Eslam Panah , S. Panahiyan

AdS spacetime has been shown numerically to be unstable against a large class of arbitrarily small perturbations. In arXiv:1410.1869, the authors presented a preliminary study of the effects on stability of changing the local dynamics by…

High Energy Physics - Theory · Physics 2016-11-23 Nils Deppe , Allison Kolly , Andrew R. Frey , Gabor Kunstatter

We investigate stability of the D-dimensional Reissner-Nordstrom-anti-de-Sitter metrics as solutions of the Einstein-Maxwell equations. We have shown that asymptotically anti-de Sitter black holes are dynamically stable for all values of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya , A. Zhidenko

We present a $D$-dimensional Bardeen like Anti-de Sitter (AdS) black hole solution in Einstein-Gauss-Bonnet (EGB) gravity, \textit{viz}., Bardeen-EGB-AdS black holes. The Bardeen-EGB-AdS black hole has an additional parameter due to charge…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Arun Kumar , Dharm Veer Singh , Sushant G. Ghosh

In this paper, we obtain exact phantom (A)dS black hole solutions in the context of $F(R)$ gravity with topological spacetime in four dimensions. Then, we study the effects of different parameters on the event horizon. In the following, we…

General Relativity and Quantum Cosmology · Physics 2023-03-24 B. Eslam Panah , M. E. Rodrigues

Conditions for thermodynamic stability of asymptotically anti-de Sitter rotating black holes in D-dimensions are determined. Local thermodynamic stability requires not only positivity conditions on the specific heat and the moment of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Brian P. Dolan

We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there…

High Energy Physics - Theory · Physics 2025-05-06 Francesca Mariani , Chiara Toldo

In this paper, we investigate thermodynamical aspects of a novel static non-extremal black hole solution in the five-dimensional anti-de Sitter (AdS) space carrying four independent electric charge parameters and with a negative…

High Energy Physics - Theory · Physics 2026-03-02 Di Wu , Shuang-Qing Wu

We investigate $4D$ Einstein-Gauss-bonnet gravity coupled to exponential electrodynamics in AdS background and found a static, spherically symmetric exact black hole solution. The horizon structure of black hole is discussed. Treating the…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Prosenjit Paul

The stability of black holes and solitons in d-dimensional Anti-de Sitter space-time against scalar field condensation is discussed. The resulting solutions are "hairy" black holes and solitons, respectively. In particular, we will discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Betti Hartmann

We consider solutions in Einstein-Maxwell theory with a negative cosmological constant that asymptote to global $AdS_{4}$ with conformal boundary $S^{2}\times\mathbb{R}_{t}$. At the sphere at infinity we turn on a space-dependent…

High Energy Physics - Theory · Physics 2016-05-25 Miguel S. Costa , Lauren Greenspan , Miguel Oliveira , João Penedones , Jorge E. Santos

We review and extend previous results regarding the stability and thermodynamics of Anti-de Sitter (AdS) spacetime at finite temperature. Using a combination of analytic and numerical techniques, we compute the energy, temperature, and…

High Energy Physics - Theory · Physics 2014-07-08 Matthew Kleban , Albion Lawrence , Matthew M. Roberts , Stefano Storace

In the framework of AdS/CFT duality, we consider the semiclassical problem in general quadratic theory of gravity. We construct asymptotically global AdS and hyperbolic~(topological) AdS black hole solutions with non-trivial quantum hair in…

High Energy Physics - Theory · Physics 2024-12-30 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We construct charged AdS black hole solutions in four dimensional Einstein Gauss Bonnet gravity coupled to Euler Heisenberg nonlinear electrodynamics and investigate their physical properties. The modified field equations admit black hole…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Bilel Hamil , Faisal Javed

We propose novel thermodynamic inequalities that apply to stationary asymptotically Anti-de Sitter (AdS) black holes. These inequalities incorporate the thermodynamic volume and refine the reverse isoperimetric inequality. To assess the…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Masaya Amo , Antonia M. Frassino , Robie A. Hennigar

In this paper, using the ensemble-averaged theory, we define the thermodynamic free energy of Einstein-Gauss-Bonnet (EGB) black holes in anti-de Sitter (AdS) spacetime. This approach derives the gravitational partition function by…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Md Sabir Ali , C. Fairoos , C. L. Ahmed Rizwan , T. K. Safir , Peng Cheng