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We consider new regular exact spherically symmetric solutions of a nonminimal Einstein--Yang-Mills theory with a cosmological constant and a gauge field of magnetic Wu-Yang type. The most interesting solutions found are black holes with…

General Relativity and Quantum Cosmology · Physics 2016-01-11 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

The investigation of gravity in higher-dimensional spacetime has transitioned from a mathematical curiosity to a fundamental framework in theoretical physics, catalyzed by the dimensional requirements of String theory and M-theory. In this…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Chen-Hao Hao , Jiliang Jing , Jieci Wang

We develop a class of regular black holes by prescribing finite curvature invariants and reconstructing the corresponding spacetime geometry. Two distinct approaches are employed: one based on the Ricci scalar and the other on the Weyl…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Chen Lan , Zhen-Xiao Zhang , Hao Yang

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

The Bardeen solution corresponding to Einstein field equations with a cosmological constant is a regular black hole. The main goal of this manuscript is to investigate the geometric structures in terms of curvature conditions admitted by…

Differential Geometry · Mathematics 2022-07-15 Absos Ali Shaikh , Shyamal Kumar Hui , Mousumi Sarkar

We study higher dimensional gravitational collapse to topological black holes in two steps. Firstly, we construct some (n+2)-dimensional collapsing space-times, which include generalised Lemaitre-Tolman-Bondi-like solutions, and we prove…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Filipe C. Mena , Jose Natario , Paul Tod

In this work, we prove that the classical Schwarzschild-de Sitter spacetime is an exact solution of a class of weakly non-local, UV finite conformal quantum gravity theories, without the necessity of including a cosmological constant term…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Diego A. Martínez-Valera

We study the $f(R)$-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordstr\"om-AdS black hole by redefining Newtonian constant and charge. Further, we obtain the…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Taeyoon Moon , Yun Soo Myung , Edwin J. Son

In this work, we investigate five-dimensional scale-dependent black hole solutions by modelling their event horizon with some of the eight Thurston three-dimensional geometries. Specifically, we construct constant curvature scale-dependent…

General Relativity and Quantum Cosmology · Physics 2020-05-20 E. Contreras , Á. Rincón , P. Bargueño

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

The C-metric is one of few known exact solutions of Einstein's field equations which describes the gravitational field of moving sources. For a vanishing or positive cosmological constant, the C-metric represents two accelerated black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Pavel Krtous

In this paper, we study topological numbers for five-, six- and seven-dimensional anti-de Sitter black holes in the ghost-free massive gravity. We find that when the black holes are charged, they have the same topological number. The…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Deyou Chen , Yucheng He , Jun Tao

We find an exact nonstatic charged BTZ-like solutions, in ($N$+1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power $s$ of the Maxwell invariant, which describes…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Sushant G. Ghosh

Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial…

High Energy Physics - Theory · Physics 2008-11-26 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso

A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 José P. S. Lemos , Paulo M. Sá

We point out that the recent conjecture relating large N gauge theories to string theory in anti-de Sitter spaces offers a resolution in principle of many problems in black hole physics. This is because the gauge theory also describes…

High Energy Physics - Theory · Physics 2016-09-06 Gary T. Horowitz , Simon F. Ross

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 K. Peeters , C. Schweigert , J. W. van Holten

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama
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