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We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions…

High Energy Physics - Theory · Physics 2008-11-26 Sharmanthie Fernando , Don Krug

A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

We present a systematic study of static solutions of the vacuum Einstein equations with negative cosmological constant which asymptotically approach the generalized Kottler (``Schwarzschild--anti-de Sitter'') solution, within (mainly) a…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Piotr T. Chrusciel , Walter Simon

We study the thermodynamical properties of electrically charged black hole solutions of a nonlinear electrodynamics theory defined by a power p of the Maxwell invariant, which is coupled to Einstein gravity in four and higher spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Hernan A. Gonzalez , Mokhtar Hassaine , Cristian Martinez

We examine the conjecture for the complete monotonicity of certain curvature invariants for quantum black holes. In this note, we study a class of quantum regular black holes that are static, spherically symmetric, and characterized only by…

High Energy Physics - Theory · Physics 2025-09-30 A. Almasi , A. Moradpouri , M. Shahbazi

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Ramon Torres

In this work, we derive exact solutions for four-dimensional static spherically symmetric black holes and three-dimensional rotating black holes within a Lorentz-violating gravity theory. In this framework, Lorentz symmetry is spontaneously…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Jia-Zhou Liu , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

We present arguments for the existence of both globally regular and black hole solutions of the Einstein equations with a conformally coupled scalar field, in the presence of a negative cosmological constant, for space-time dimensions…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu , Elizabeth Winstanley

Loop quantum cosmology is a symmetry-reduced application of loop quantum gravity that has led to the resolution of classical singularities such as the big bang, and those at the center of black holes. This can be seen through numerical…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Alec Yonika , Gaurav Khanna

We present a generalisation of the charged C-metric conformally coupled with a scalar field in the presence of a cosmological constant. The solution is asymptotically flat or a constant curvature spacetime. The spacetime metric has the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 C. Charmousis , T. Kolyvaris , E. Papantonopoulos

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Baekler , Friedrich W. Hehl

We investigate vacuum static black hole solutions of Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. These are solutions with horizons of nontrivial topologies. The first one possesses a horizon with…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Yuxuan Peng

We study the static black holes in the large $D$ dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion with respect to the radial direction, we obtain…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li

In this work we analyze a solution that mimics the Bardeen solution with a cosmological constant surrounded by quintessence. We show that this solution can be obtained by Einstein equations coupled with nonlinear electrodynamics. We also…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Manuel E. Rodrigues , Marcos V. de S. Silva , Henrique A. Vieira

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

We construct slowly rotating black-hole solutions of Einsteinian cubic gravity (ECG) in four dimensions with flat and AdS asymptotes. At leading order in the rotation parameter, the only modification with respect to the static case is the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Connor Adair , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

We present and analyze an exact 5-dimensional vacuum solution of Einstein equation with non-negative cosmological constant written in a C-metric like coordinate. The metric does not contain any black hole horizons in it, but has two…

High Energy Physics - Theory · Physics 2009-10-20 Liu Zhao , Bin Zhu

We construct the first four-dimensional multi-black hole solution of general relativity with a positive cosmological constant. The solution consists of two static black holes whose gravitational attraction is balanced by the cosmic…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Oscar J. C. Dias , Gary W. Gibbons , Jorge E. Santos , Benson Way