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A stationary axially symmetric solution describing a rotating anisotropic source for Einstein Field Equations(EFE) is proposed which matches to the exterior Kerr metric. The anisotropic source satisfies all energy conditions - weak, strong,…

General Relativity and Quantum Cosmology · Physics 2017-07-04 F. Z. Majidi

We discuss and prove an extended version of the Kerr theorem which allows one to construct exact solutions of the Einstein-Maxwell field equations from a holomorphic generating function $F$ of twistor variables. The exact multiparticle…

High Energy Physics - Theory · Physics 2010-11-11 Alexander Burinskii

A new approach to tackle Einstein equations for an isotropic and homogeneous Friedmann--Robertson--Walker Universe in the presence of a quintessence scalar field is devised. It provides a way to get a simple exact solution to these…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Felipe A. Asenjo , Sergio A. Hojman

We construct an exact anisotropic star model with a linear barotropic equation of state and with Finch-Skea potential within the framework of pure Lovelock gravity. A comparison with the corresponding Einstein model in a suitable limit is…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Ksh. Newton Singh , Megandhren Govender , Sudan Hansraj , Farook Rahaman

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

The exact static spherically symmetric solutions for pure-aether theory and Einstein-aether theory are presented. It is shown that both theories can deliver the Schwarzschild metric, but only the Einstein-aether theory contains solutions…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Boris Hikin

We construct two classes of exact solutions to six and higher dimensional Einstein-Maxwell theory in which the metric functions can be written as convolution-like integrals of two special functions. The solutions are regular everywhere and…

High Energy Physics - Theory · Physics 2014-11-05 A. M. Ghezelbash

This paper invokes a new mechanism for reducing a coupled system of fields (including Einstein's equations without a cosmological constant) to equations that possess solutions exhibiting characteristics of immediate relevance to current…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Robin W. Tucker , Timothy J. Walton , Manuel Arrayás , José L. Trueba

Static solutions representing wormhole configurations in Einstein-Cartan theory ({{\sf ECT}}) in the presence of electric charge are obtained. The solutions are described by a constant redshift function with matter content consisting of a…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

It is shown that the expressions for the tangential pressure, the anisotropy factor and the radial pressure in the Einstein - Maxwell equations may serve as generating functions for charged stellar models. The latter can incorporate an…

General Relativity and Quantum Cosmology · Physics 2021-03-31 B. V. Ivanov

The coupled system of the spherically symmetric Einstein--Maxwell differential equations is solved under two different source conditions: non-zero electric charge and pressure anisotropy. Expressions for the metric functions, and pressures…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Ambrish M. Raghoonundun , David W. Hobill

The Maxwell's equations are solved when it has an inhomogeneous terms as a source. The solution is very general in a sense that it handles arbitrary current source and anisotropic media. The calculation is carried out in the k-domain after…

General Physics · Physics 2010-08-31 Seoktae Lee

Any constant-scalar-curvature Kaehler (cscK) metric on a complex surface may be viewed as a solution of the Einstein-Maxwell equations, and this allows one to produce solutions of these equations on any 4-manifold that arises as a compact…

Differential Geometry · Mathematics 2015-05-20 Claude LeBrun

We formulate a model of noncompact spherical charged objects in the framework of noncommutative field theory. The Einstein-Maxwell field equations are solved with charged anisotropic fluid. We choose the forms of mass and charge densities…

General Physics · Physics 2013-02-21 M. Sharif , G. Abbas

The existence of charged elementary 'point particles' still is a basically unsolved puzzle in theoretical physics. The present work takes a fresh look at the problem by including gravity---without resorting to string theory. Using…

General Physics · Physics 2018-09-07 H. Dekker

The classical Einstein--Maxwell field equations admit static horizonless wormhole solutions with only a circular cosmic string singularity. We show how to extend these static solutions to exact rotating asymptotically flat solutions. For a…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Gérard Clément

We study relativistic stars in the scale-dependent scenario, which is one of the approaches to quantum gravity, and where Newton's constant is promoted to a scale-dependent quantity. First, the generalized structure equations are derived…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Grigoris Panotopoulos , Ángel Rincón , Ilídio Lopes

Present paper provides a new model of anisotropic strange star corresponding to the exterior schwarzschild metric. The Einstein field equations have been solved by utilizing the Krori Barua (KB) ansatz in presence of quintessence field…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Piyali Bhar

We present new stable solutions of the Tolman Oppenheimer Volkoff equations for quark stars using a quark matter equation of state based on the SU(3) Quark-Meson model that exhibits the onset of the chiral phase transition. These new…

High Energy Astrophysical Phenomena · Physics 2017-05-31 Andreas Zacchi , Laura Tolos , Jürgen Schaffner-Bielich

The interest in studying relativistic compact objects play an important role in modern astrophysics with an aim to understand several astrophysical issues. It is therefore natural to ask for internal structure and physical properties of…

General Physics · Physics 2018-09-19 S. K. Maurya , Ayan Banerjee , Y. K. Gupta