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The energy distribution in the most general nonstatic spherically symmetric space-time is obtained using M{\o}ller's energy-momentum complex. This result is compared with the energy expression obtained by using the energy-momentum complex…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. S. Xulu

We examine the question of energy localization for an exact solution of Einstein's equations with a scalar field corresponding to the phantom energy interpretation of dark energy. We apply three different energy-momentum complexes, the…

General Physics · Physics 2013-04-23 Paul Halpern , Michael Pecorino

In this paper, we elaborate the problem of energy-momentum in general relativity by energy-momentum prescriptions theory. Our aim is to calculate energy and momentum densities for the general form of gravitational waves. In this connection,…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Amir M. Abbassi , Saeed Mirshekari

Considering encouraging Virbhadra's results about energy distribution of non-static spherically symmetric metrics in Kerr-Schild class, it would be interesting to study some space-times with other symmetries. Using different energy-momentum…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Amir M. Abbassi

A general procedure to find static and axially symmetric, interior solutions to the Einstein equations is presented. All the so obtained solutions, verify the energy conditions for a wide range of values of the parameters, and match…

General Relativity and Quantum Cosmology · Physics 2016-11-07 J. L. Hernandez-Pastora , L. Herrera , J. Martin

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

We use Moeller's energy-momentum complex in order to explicitly compute the energy and momentum density distributions for an exact solution of Einstein's field equations with a negative cosmological constant minimally coupled to a static…

General Relativity and Quantum Cosmology · Physics 2010-11-05 I. Radinschi , Th. Grammenos

We consider the equations for the coefficients of stationary rotating axisymmetric metrics governed by the Einstein-Euler equations, that is, the Einstein equations together with the energy-momentum tensor of a barotropic perfect fluid.…

Analysis of PDEs · Mathematics 2020-09-30 Tetu Makino

The energy-momentum distribution of spatially homogeneous rotating spacetimes in the context of teleparallel theory of gravity is investigated. For this purpose, we use the teleparallel version of Moller prescription. It is found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Sharif , M. Jamil Amir

We derive an exact general axi-symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation. The solution is characterized by four parameters $M$ (mass), $Q$ (charge), $a$ (rotation) and $L$…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal Gergess Lamee Nashed

The energy-momentum of a new four-dimensional, charged, spherically symmetric and nonsingular black hole solution constructed in the context of general relativity coupled to a theory of nonlinear electrodynamics is investigated, whereby the…

General Relativity and Quantum Cosmology · Physics 2017-11-30 I. Radinschi , Th. Grammenos , Farook Rahaman , A. Spanou , Sayeedul Islam , Surajit Chattopadhyay , Antonio Pasqua

We use the Einstein energy-momentum complex to calculate the energy distribution of static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. This solution is expressed in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Paul Halpern

In this work a study about the energy-momentum of a new four-dimensional spherically symmetric, static and charged, regular black hole solution developed in the context of general relativity coupled to nonlinear electrodynamics is…

General Relativity and Quantum Cosmology · Physics 2017-04-26 I. Radinschi , F. Rahaman , Th. Grammenos , A. Spanou , Sayeedul Islam

The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies…

General Relativity and Quantum Cosmology · Physics 2019-06-06 I. Radinschi , Th. Grammenos , F. Rahaman , M. M. Cazacu , A. Spanou , J. Chakraborty

A general formula for the metric as an explicit function of the generic energy-momentum tensor is given which satisfies static plane symmetric Einstein's equations with cosmological constant.In order to illustrate it, the solutions for the…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Leandro G. Gomes

Energy-momentum is an important conserved quantity whose definition has been a focus of many investigations in general relativity. Unfortunately, there is still no generally accepted definition of energy and momentum in general relativity.…

High Energy Physics - Theory · Physics 2007-05-23 S. S. Xulu

In this paper, the exact vacuum solution of a general plane symmetric spacetime is investigated in metric f(R) gravity with the assumption of constant Ricci scalar. For this solution, we have studied the generalized Landau-Lifshitz…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Morteza Yavari

Axially symmetric stationary metrics governed by the Einstein-Euler equations for slowly rotating perfect fluids have been constructed in an arbitrarily large bounded domain containing the support of the mass density. However the problem of…

Analysis of PDEs · Mathematics 2019-07-23 Tetu Makino

An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. The spacetime is represented by the axially symmetric Weyl metric and the energy-momentum tensor describes a coupling of a fluid with an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose D. Polanco , Patricio S. Letelier , Maximiliano Ujevic

In a previous work, Optics Communications 284 (2011) 2460--2465, we considered a dielectric medium with an anti-reflection coating and a spatially uniform index of refraction illuminated at normal incidence by a quasimonochromatic field.…

Optics · Physics 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder