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In 4 spacetime dimensions there is a well known proof that for any asymptotically flat, stationary, and axisymmetric vacuum solution of Einstein's equation there exists a "$t$-$\phi$" reflection isometry that reverses the direction of the…

General Relativity and Quantum Cosmology · Physics 2015-04-27 Joshua S. Schiffrin , Robert M. Wald

We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} =…

General Relativity and Quantum Cosmology · Physics 2011-08-03 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

Recently it was shown by Castro, Maloney and Strominger (CMS) that 4D Kerr black holes have a "hidden" conformal symmetry. Using some old results of Cvetic and Larsen, I show that this result is very likely to hold also for the most general…

High Energy Physics - Theory · Physics 2014-11-20 Chethan Krishnan

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

For N \ge 2 supergravities, BPS black hole solutions preserving four supersymmetries can be superposed linearly, leading to well defined solutions containing an arbitrary number of such BPS black holes at arbitrary positions. Being…

High Energy Physics - Theory · Physics 2010-02-23 Guillaume Bossard , Hermann Nicolai

In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

High Energy Physics - Theory · Physics 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the…

High Energy Physics - Theory · Physics 2008-11-26 A. Sheykhi , M. Allahverdizadeh , Y. Bahrampour , M. Rahnama

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

Numerical solutions for asymptotically flat rotating black holes in the cubic Galileon theory are presented. These black holes are endowed with a nontrivial scalar field and exhibit a non-Schwarzschild behaviour: faster than $1/r$…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Karim Van Aelst , Eric Gourgoulhon , Philippe Grandclément , Christos Charmousis

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

We derive exact magnetically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

For self-gravitating, static, spherically symmetric, minimally coupled scalar fields with arbitrary potentials and negative kinetic energy (favored by the cosmological observations), we give a classification of possible regular solutions to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , J. C. Fabris

Two solutions of stringy gravity in three and four dimensions which admit interpretation as a black hole and a black string, respectively, are discussed. It is demonstrated that they are exact WZWN nonlinear sigma models to all orders in…

High Energy Physics - Theory · Physics 2007-05-23 Nemanja Kaloper

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Sebastian Bahamonde

Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead…

High Energy Physics - Theory · Physics 2016-05-25 Hamid Afshar , Stephane Detournay , Daniel Grumiller , Wout Merbis , Alfredo Perez , David Tempo , Ricardo Troncoso

We analyze asymptotic symmetries on the Killing horizon of the four-dimensional Kerr--Newman black hole. We first derive the asymptotic Killing vectors on the Killing horizon, which describe the asymptotic symmetries, and find that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

We consider three-dimensional gravity with negative cosmological constant in the presence of a scalar and an Abelian gauge field. Both fields are conformally coupled to gravity, the scalar field through a nonminimal coupling with the…

High Energy Physics - Theory · Physics 2015-06-22 Marcela Cardenas , Oscar Fuentealba , Cristian Martinez