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The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Vanzo

Making use of the conformal positive energy theorem we prove the uniqueness of four-dimensional static electrically charged black holes being the solution of Chern-Simons dynamical gravity equations of motion. We assume that black hole…

High Energy Physics - Theory · Physics 2015-06-16 Marek Rogatko

We investigate five-dimensional vacuum solutions which represent rotating multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that multi-black holes rotate maximally along extra dimension, and stationary configurations in…

High Energy Physics - Theory · Physics 2012-08-24 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

We construct a family of local static, vacuum five-dimensional solutions with two commuting spatial isometries describing a black hole with a $S^3$ horizon and a 2-cycle `bubble' in the domain of outer communications. The solutions are…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Matin Tavayef , Shohreh Abdolrahimi , Ivan Booth , Hari Kunduri

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Sebastian Murk , Daniel R. Terno

We construct static axially symmetric black holes in multi-Skyrmion configurations coupled to Einstein gravity in four dimensional asymptotically flat space-time. In a simplest case the event horizon is located in-between a…

High Energy Physics - Theory · Physics 2020-10-07 Yakov Shnir

We provide a classification of near-horizon geometries of supersymmetric, asymptotically anti-de Sitter, black holes of five-dimensional U(1)^3-gauged supergravity which admit two rotational symmetries. We find three possibilities: a…

High Energy Physics - Theory · Physics 2009-06-11 Hari K. Kunduri , James Lucietti

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

In recent series of papers, we found an arbitrary dimensional, time-evolving and spatially-inhomogeneous solutions in Einstein-Maxwell-dilaton gravity with particular couplings. Similar to the supersymmetric case the solution can be…

High Energy Physics - Theory · Physics 2011-02-02 Masato Nozawa , Kei-ichi Maeda

We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry…

High Energy Physics - Theory · Physics 2009-09-03 Hari K. Kunduri , James Lucietti

From a purely geometric (kinematic) perspective, black holes in four dimensional spacetimes can have event horizons with arbitrary topologies. It is only when energy conditions are imposed that the horizon's topology is constrained to be…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Gerardo García-Moreno , Alejandro Jiménez Cano

We determine the most general near-horizon geometry of a supersymmetric, asymptotically anti-de Sitter, black hole solution of five-dimensional minimal gauged supergravity that admits two rotational symmetries. The near-horizon geometry is…

High Energy Physics - Theory · Physics 2010-10-27 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We analyze the near-horizon symmetries of static, axisymmetric, four-dimensional black holes with spherical and toroidal horizon topologies in vacuum general relativity. These black hole solutions, collectively referred to as…

General Relativity and Quantum Cosmology · Physics 2025-09-23 M. M. Akbar , S. M. Modumudi

We review recent results on the existence of static black holes without spatial isometries in four spacetime dimensions and propose a general framework for their study. These configurations are regular on and outside a horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Carlos Herdeiro , Eugen Radu

We discuss various physical aspects of nonextremal, extremal and supersymmetric black holes in asymptotically anti-de Sitter (ADS) spacetimes. Specifically, we discuss how the isolated horizon (IH) framework leads to an ambiguity-free…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Ivan Booth , Tomas Liko

We consider a five-dimensional constant curvature black hole, which is constructed by identifying some points along a Killing vector in a five-dimensional AdS space. The black hole has the topology M_4 times S^1, its exterior is…

High Energy Physics - Theory · Physics 2010-04-05 Rong-Gen Cai

We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their…

High Energy Physics - Theory · Physics 2009-11-07 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

In four dimensional general relativity, the fact that a Killing vector in a vacuum spacetime serves as a vector potential for a test Maxwell field provides one with an elegant way of describing the behaviour of electromagnetic fields near a…

High Energy Physics - Theory · Physics 2010-11-19 A. N. Aliev , Valeri P. Frolov

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

Local condition that imply the no-hair property of black holes are completed. The conditions take the form of constraints on the geometry of the 2-dimensional crossover surface of black hole horizon. They imply also the axial symmetry…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Jerzy Lewandowski , Adam Szereszewski