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From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alberto A. Garcia-Diaz

The main purpose of this contribution is to determine physical and geometrical characterizations of whole classes of stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Alberto A. Garcia-Diaz

In a previous paper arXiv:0707.2775 [gr-qc] we showed that stationary asymptotically flat vacuum black hole solutions in 5 dimensions with two commuting axial Killing fields can be completely characterized by their mass, angular momentum, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Stoytcho Yazadjiev

We study stationary and axisymmetric solutions of General Relativity, i.e. pure gravity, in four or higher dimensions. D-dimensional stationary and axisymmetric solutions are defined as having D-2 commuting Killing vector fields. We derive…

High Energy Physics - Theory · Physics 2011-05-05 Troels Harmark

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one and two commuting axial Killing fields respectively. It is well known that the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2023-01-05 James Lucietti , Fred Tomlinson

We consider Einstein-Maxwell-self-interacting scalar field theory described by a potential $V\left( \phi \right) $ in $2+1-$dimensions. The self-interaction potential is chosen to be a highly non-linear double-Liouville type. Exact…

General Relativity and Quantum Cosmology · Physics 2015-08-03 S. Habib Mazharimousavi , M. Halilsoy

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

We find and analyse solutions of Einstein's equations in arbitrary d dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field. We consider spacetimes of cylindrical symmetry or again subspaces…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Christos Charmousis , Blaise Goutéraux , Jiro Soda

In recent years higher-dimensional black holes have attracted much interest because of various developments in gravity and high energy physics. But whereas higher-dimensional charged static (Tangherlini) and uncharged rotating (Myers-Perry)…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler

The fundamental metrics, which describe any static three-dimensional Einstein-Maxwell spacetime (depending only on a unique spacelike coordinate), are found. In this case there are only three independent components of the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mauricio Cataldo

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

Using the Wald formalism, we investigate the thermodynamics of charged black holes in D-dimensional stationary spacetimes with or without rotations in Einstein-\ae ther-Maxwell theory. In particular, assuming the existence of a scaling…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Fei-hung Ho , Shao-Jun Zhang , Hai-Shan Liu , Anzhong Wang

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Aliev

A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit the electric field, diagonal metric…

General Relativity and Quantum Cosmology · Physics 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

We study stationary black holes in the presence of an external strong magnetic field. In the case where the gravitational backreaction of the magnetic field is taken into account, such an scenario is well described by the Ernst-Wild…

High Energy Physics - Theory · Physics 2021-06-11 Sasha Brenner , Gaston Giribet , Luciano Montecchio

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Kai Lin , Yunqi Liu , Wei-Liang Qian
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