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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

Is it possible the no-hair paradigm is violated when a black hole undergoes an instability? Employing massless charged scalar perturbations, we address this question within the context of conformally invariant Einstein-Maxwell theory for…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Afsaneh Rahmani , Mohsen Khodadi , Matin Honardoost , Hamid Reza Sepangi

We systematically investigate axisymmetric extremal isolated horizons (EIHs) defined by vanishing surface gravity, corresponding to zero temperature. In the first part, using the Newman-Penrose and GHP formalism we derive the most general…

General Relativity and Quantum Cosmology · Physics 2021-08-06 David Matejov , Jiri Podolsky

A general class of axionic and electrically charged black holes for a self-interacting scalar field nonminimally coupled to Einstein gravity with a negative cosmological constant is presented. These solutions are the first examples of black…

High Energy Physics - Theory · Physics 2015-06-16 Marco M. Caldarelli , Christos Charmousis , Mokhtar Hassaïne

We study the formation of inhomogeneous order in the Einstein-Maxwell-axion system, dual to a 2+1 dimensional field theory that exhibits a spontaneously generated current density, momentum density and modulated scalar operator. Below the…

High Energy Physics - Theory · Physics 2013-06-12 Moshe Rozali , Darren Smyth , Evgeny Sorkin , Jared B. Stang

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and an U(1) electromagnetic field. Solving the coupled Einstein-Maxwell-scalar system we find exact hairy charged…

General Relativity and Quantum Cosmology · Physics 2015-06-22 P. A. Gonzalez , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vasquez

We numerically construct asymptotically $AdS_4$ solutions to Einstein-Maxwell-dilaton theory. These have a dipolar electrostatic potential turned on at the conformal boundary $S^2\times \mathbb{R}_t$. We find two classes of geometries:…

High Energy Physics - Theory · Physics 2017-06-28 Miguel S. Costa , Lauren Greenspan , Joao Penedones , Jorge E. Santos

We introduce a magnetically charged extremal regular black hole in the coupled system of Einstein gravity and nonlinear electrodynamics. Its near horizon geometry is given by $AdS_2\times S^2$. It turns out that the entropy function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

The direct product of two-dimensional anti-de Sitter spacetime with a two-sphere is an exact solution of four-dimensional Einstein-Maxwell theory without a cosmological constant. In this paper, we analytically solve the coupled…

High Energy Physics - Theory · Physics 2018-07-12 Achilleas P. Porfyriadis

We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime satisfying the null energy condition must admit a Killing…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Alex Colling

We study $AdS\times X$ null deformations arising as near horizon limits of D3-brane analogs of inhomogenous plane waves. Restricting to normalizable deformations for the $AdS_5$ case, these generically correspond in the dual field theory to…

High Energy Physics - Theory · Physics 2013-05-30 K. Narayan

It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times.…

High Energy Physics - Theory · Physics 2025-10-23 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We construct a noncommutative (NC) AdS$_4$-charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy-momentum tensor. A…

High Energy Physics - Theory · Physics 2025-10-09 Manuel de la Cruz-López , Alfredo Herrera-Aguilar , Daniel Martínez-Carbajal , Sergio Patiño-López

Recently it was shown that small deformations of the asymptotically flat black-hole geometry in some region near its horizon which do not alter considerably the fundamental mode, nevertheless, strongly affect the first several (and higher)…

General Relativity and Quantum Cosmology · Physics 2024-02-09 R. A. Konoplya , A. Zhidenko

We show that a realization of the correspondence AdS_2/CFT_1 for near extremal Reissner-Nordstrom black holes in arbitrary dimensional Einstein-Maxwell gravity exactly reproduces, via Cardy's formula, the deviation of the Bekenstein-Hawking…

High Energy Physics - Theory · Physics 2009-10-31 Diego J. Navarro , Jose Navarro-Salas , Pedro Navarro

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko

We investigate the quantum dynamics of a charged scalar field in the near-horizon region of a near-extremal charged BTZ black hole. A controlled expansion of the Einstein-Maxwell equations reveals an emergent warped AdS$_2 \times S^1$…

High Energy Physics - Theory · Physics 2025-05-26 Mendrit Latifi , Kimet Jusufi

Extremal black holes in general dimensions are well known to contain an AdS$_2$ factor in their near-horizon geometries. If the extremal limit is taken in conjunction with a specific vanishing horizon limit, the so-called Extremal Vanishing…

High Energy Physics - Theory · Physics 2020-03-18 Kevin Goldstein , Vishnu Jejjala , Yang Lei , Sam van Leuven , Wei Li

The uniqueness and rigidity of black holes remain central themes in gravitational research. In this work, we investigate the construction of all extremal black hole solutions to the Einstein equation for a given near-horizon geometry,…

High Energy Physics - Theory · Physics 2026-02-06 Jan Gutowski , Chettha Saelim , Martin Wolf

We study anti-de Sitter black holes in the Einstein-Gauss-Bonnet and the generic R^2 gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities of Hawking-Page type thermal phase transitions in these…

High Energy Physics - Theory · Physics 2011-05-05 Y. M. Cho , Ishwaree P. Neupane
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