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A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

We find two new classes of exact solutions for the Einstein-Maxwell equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field equations are…

General Relativity and Quantum Cosmology · Physics 2014-12-30 S. D. Maharaj , J. M. Sunzu , S. Ray

This paper constructs two immediate extensions of the existing anisotropic solutions in the context of Einstein-Maxwell framework by employing minimal geometric deformation. To achieve this, we assume a static spherical interior initially…

General Relativity and Quantum Cosmology · Physics 2023-10-03 M. Sharif , Tayyab Naseer

For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein--Maxwell equations as represented by their Ernst potentials. This hierarchy contains three arbitrary rational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , J. B. Griffiths

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

Present paper provides a model of static charged anisotropic fluid sphere in the EinsteinMaxwell- GaussBonnet (EMGB) theory of gravitation. We select KB anstz as the metric co-efficient along with electric field intensity. To develop our…

General Physics · Physics 2021-04-13 Piyali Bhar , Megan Govender

In this work we present an exact solution of the Einstein-Maxwell field equations describing compact, charged objects within the framework of classical general relativity. Our model is constructed by embedding a four-dimensional spherically…

General Physics · Physics 2017-06-28 S. K. Maurya , M. Govender

General static solutions of effectively 2-dimensional Einstein-Dilaton-Maxwell-Scalar theories are obtained. Our model action includes a class of 2-d dilaton gravity theories coupled with a $U(1)$ gauge field and a massless scalar field.…

High Energy Physics - Theory · Physics 2009-10-30 Dahl Park , Youngjai Kiem

The main objective of this work is the construction of regular black hole solutions in the context of the Einstein-Maxwell theory. The strategy is to match an interior regular solution to an exterior electrovacuum solution. With this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We provide new exact solutions to the Einstein-Maxwell system of equations for matter configurations with anisotropy and charge. The spacetime is static and spherically symmetric. A quadratic equation of state is utilised for the matter…

General Relativity and Quantum Cosmology · Physics 2016-01-06 Sifiso A. Ngubelanga , Sunil D. Maharaj , Subharthi Ray

The general exact solution of the Einstein-matter field equations describing spherically symmetric shells satisfying an equation of state in closed form is discussed under general assumptions of physical reasonableness. The solutions split…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Kijowski , G. Magli , D. Malafarina

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different…

General Relativity and Quantum Cosmology · Physics 2014-05-05 Iftikhar Ahmad , Maqsoom Fatima , Najam-ul-Basat

We introduce a new class of inhomogeneous cosmological models as solutions to the Einstein-Maxwell equations in electrovacuum. The new models can be considered to be nonlinear perturbations, through an electromagnetic field, of the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jörg Hennig

As an alternative gravity model we consider an extended Einstein-Maxwell gravity containing a gauge invariance property. Extension is assumed to be addition of a directional coupling between spatial electromagnetic fields with the Ricci…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Hossein Ghaffarnejad , Leyla Naderi

We present exact solutions to the Einstein-Maxwell system of equations with a specified form of the electric field intensity by assuming that the hypersurface \{$t$ = constant\} are spheroidal. The solution of the Einstein-Maxwell system is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Komathiraj , S. D. Maharaj

We revisit the problem of the structure and physical properties of electrically charged static spherically symmetric solutions of the Einstein-Maxwell system of equations where the matter model is a polytropic gas. We consider a…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Andrés Aceña , Bruno Cardin Guntsche , Iván Gentile de Austria

In this paper, we found new exact solutions to the Einstein- Maxwell system of equations within the framework of MIT Bag Model considering a particular form for the measure of anisotropy and a gravitational potential which depends on an…

General Physics · Physics 2014-10-08 Manuel Malaver

The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum case, the use of Generally Covariant Modulated (GCM) spheres…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Allen Juntao Fang , Elena Giorgi , Jingbo Wan

I use the Newtonian equation of hydrostatic equilibrium for an isotropic fluid sphere to generate exact anisotropic solutions of Einstein's equations. The input function is simply the density. An infinite number of regular solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Kayll Lake

In this paper, we explore the existence of various non-singular compact stellar solutions influenced by the Maxwell field within the matter-geometry coupling based modified gravity. We start this analysis by considering a static spherically…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Tayyab Naseer , Jackson Levi Said