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Related papers: Static Einstein-Maxwell Solutions in 2+1 dimension…

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In this article are computed magnetic solutions of Einstein Maxwell Chern-Simons theory coupled to a dilaton-like scalar field. These solutions are computed by applying a space-time duality suggested by the author to known electric…

General Relativity and Quantum Cosmology · Physics 2021-03-12 P. Castelo Ferreira

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Dereli , Yu. N. Obukhov

We construct infinite-dimensional families of non-singular static space times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with…

Differential Geometry · Mathematics 2017-04-05 Piotr Chrusciel , Erwann Delay

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saibal Ray

We present a method for generating exact interior solutions of Einstein's equations in the case of static and axially symmetric perfect-fluid spacetimes. The method is based upon a transformation that involves the metric functions as well…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Hernando Quevedo , Saken Toktarbay

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

We introduce a class of solutions in $2+1-$dimensional Einstein-Power-Maxwell theory for circularly symmetric electric field. The electromagnetic field is considered with an angular component given by $% F_{\mu \nu }=E_{0}\delta_{\mu…

General Relativity and Quantum Cosmology · Physics 2014-01-31 S. Habib Mazharimousavi , M. Halilsoy , Ozay Gurtug

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically…

High Energy Physics - Theory · Physics 2009-10-28 Masaru Kamata , Takao Koikawa

In this work, we have obtained exact solutions of Einstein equations for static and axially symmetric magnetized matter, specifically in plane-symmetric and almost-plane symmetric cases. Although these solutions impose constraints on the…

General Relativity and Quantum Cosmology · Physics 2018-04-05 Ernesto Contreras , Pedro Bargueno , Gretel Quintero , Aurora Perez-Martinez , Diana Alvear

We present new exact solutions for the Einstein-Maxwell system in static spherically symmetric interior spacetimes. For a particular form of the gravitational potentials and the electric field intensity, it is possible to integrate the…

General Relativity and Quantum Cosmology · Physics 2009-10-16 S. D. Maharaj , S. Thirukkanesh

We construct new classes of exact cosmological solutions to five dimensional Einstein-Maxwell-dilaton theory with two coupling constants for the dilaton-Maxwell term and dilaton-cosmological constant term. All the solutions are…

General Relativity and Quantum Cosmology · Physics 2015-04-08 A. M. Ghezelbash

We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations which can be interpreted as disks of charged dust. The disks of finite or infinite extension are infinitesimally thin and constitute a surface layer at…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Klein

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Yen-Kheng Lim

We study the dynamical and thermodynamical stability of thin shells in (2+1)-dimensional spacetimes composed of an inner anti-de Sitter (AdS) region and an outer region described by a charged Ba\~nados--Teitelboim--Zanelli (BTZ) spacetime,…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Dario Olmos Cayo , Zui Oporto Almaraz , M. L. Peñafiel

We consider static cosmological solutions along with their stability properties in the framework of a recently proposed theory of massive gravity. We show that the modifcation introduced in the cosmological equations leads to several new…

General Relativity and Quantum Cosmology · Physics 2012-07-27 Luca Parisi , Ninfa Radicella , Gaetano Vilasi

New solutions for $(2+1)$-dimensional Einstein-Maxwell space-time are found for a static spherically symmetric charged fluid distribution with the additional condition of allowing conformal killing vectors (CKV). We discuss physical…

General Relativity and Quantum Cosmology · Physics 2014-02-25 Farook Rahaman , Saibal Ray , Indrani Karar , Hafiza Ismat Fatima , Saikat Bhowmick , Gourab Kumar Ghosh

In this paper we derive homogeneous vacuum plane-wave solutions to Einstein's field equations in 4+1 dimensions. The solutions come in five different types of which three generalise the vacuum plane-wave solutions in 3+1 dimensions to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sigbjorn Hervik

We obtain a class of rotating charged stationary circularly symmetric solutions of Einstein-Maxwell theory coupled to a topological mass term for the Maxwell field. These solutions are regular, have finite mass and angular momentum, and are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Sharmanthie Fernando , Freydoon Mansouri

In this paper it is studied a space-time duality web that maps electric into magnetic (and magnetic into electric) charged classical stationary rotating solutions for $2+1$-dimensional Abelian Einstein Maxwell Chern-Simons theories. A first…

High Energy Physics - Theory · Physics 2018-01-23 P. Castelo Ferreira

Global existence to the coupled Einstein-Maxwell-Massive Scalar Field system which rules the dynamics of a kind of charged pure matter in the presence of a massive scalar field is proved, in Bianchi I-VIII spacetimes; asymptotic behaviour,…

General Relativity and Quantum Cosmology · Physics 2012-05-03 Norbert Noutchegueme , Alexis Nangue