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We perform a thorough analysis of the dynamic and thermodynamic stability for the charged perfect fluid star by applying the Wald formalism to the Lagrangian formulation of Einstein-Maxwell-charged fluid system. As a result, we find that…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kai Shi , Yu Tian , Xiaoning Wu , Hongbao Zhang , Jingchao Zhang

Approximate solutions representing the gravitational-electrostatic balance of two arbitrary point sources in general relativity have led to contradictory arguments in the literature with respect to the condition of balance. Up to the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 G. P. Perry , F. I. Cooperstock

This paper is a direct continuation of our old publication where it was found the exact solution of the Einstein-Maxwell equations for two static sources of Reissner-Nordstrom type in the state of the physical equilibrium. Here we present…

General Relativity and Quantum Cosmology · Physics 2012-11-19 G. A. Alekseev , V. A. Belinski

The energy--momentum tensor in general relativity contains only localized contributions to the total energy--momentum. Here, we consider a static, spherically symmetric object consisting of a charged perfect fluid. For this object, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Corne , Arkady Kheyfets , Warner Miller

When solving the equations of General Relativity in a symmetric sector, it is natural to consider the same symmetry for the geometry and stress-energy. This implies that for static and isotropic spacetimes, the most general natural…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Tomasz Konopka

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

It is proven that the relativistic charged ball with its charge less than its mass (in natural units) cannot have a non-singular static configuration while its radius approaches its external horizon size. This conclusion does not depend on…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Yunqiang Yu , Siming Liu

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of…

General Physics · Physics 2020-11-25 K. Komathiraj , Ranjan Sharma

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

We study the dynamics of a charged particle in the field of a slowly rotating compact star in the gravitoelectromagnetic approximation to the geodesic equation . The star is assumed to be surrounded by an ideal, highly conducting plasma…

Astrophysics · Physics 2009-11-10 Babur M. Mirza

Under a particular choice of the Ernst potential, we solve analytically the Einstein-Maxwell equations to derive a new exact solution depending on five parameters: the mass, the angular-momentum (per unit mass), the electromagnetic-field…

General Relativity and Quantum Cosmology · Physics 2014-11-18 K. Kleidis , A. Kuiroukidis , P. Nerantzi , D. B. Papadopoulos

We study the evolution of shear-free spherically symmetric charged fluids in general relativity. We find a new parametric class of solutions to the Einstein-Maxwell system of field equations. Our charged results are a generalisation of…

General Relativity and Quantum Cosmology · Physics 2013-01-09 M. C. Kweyama , S. D. Maharaj , K. S. Govinder

In a static spherically symmetric Einstein-Maxwell spacetime the class of astrophysical solution found out by Ray and Das (2002) and Pant and Sah (1979) are revisited here in connection to the phenomenological relationship between the…

Astrophysics · Physics 2009-11-10 Saibal Ray , Basanti Das

The charged anisotropic star on paraboloidal spacetime is reported by choosing particular form of radial pressure and electric field intensity. The non-singular solution of Einstein-Maxwell system of equation have been derived and it is…

General Relativity and Quantum Cosmology · Physics 2016-04-07 B. S. Ratanpal , Jaita Sharma

We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter distribution satisfies a linear equation of state consistent with quark matter. The field equations are integrated by specifying forms for…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Jefta M. Sunzu , Sunil D. Maharaj , Subharthi Ray

We consider a self-gravitating, rigidly rotating charged perfect fluid immersed in the Wald magnetosphere, constructed out of two linearly independent Killing vectors present in stationary and axially-symmetric spacetimes. We show that in…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Paweł Doruchowski , Patryk Mach , Audrey Trova , Bakhtinur Juraev

In the energy-momentum density expressions for a relativistic perfect fluid with a bulk motion, one comes across a couple of pressure-dependent terms, which though well known, are to an extent, lacking in their conceptual basis and the…

General Physics · Physics 2021-05-13 Ashok K. Singal

We review the problem of describing the gravitational field of compact stars in general relativity. We focus on the deviations from spherical symmetry which are expected to be due to rotation and to the natural deformations of mass…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Hernando Quevedo

This paper elaborates the problem of energy-momentum in the framework of teleparallel equivalent of General Relativity. For this purpose, we consider energy-momentum prescription derived from the integral form of the constraint equations…

General Relativity and Quantum Cosmology · Physics 2010-01-07 M. Sharif , Sumaira Taj

Suggested non-linear, non-gauge modification of the Maxwell theory of electromagnetism based on correlation between electromagnetic potential, $A_a$, and metric, $g_{ab}$, such that tensor $G_{ab} = g_{ab} - l^2{A}_a{A}_b$ represents…

General Physics · Physics 2007-05-23 Dmitriy Palatnik