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An approach to computing, withing the framework of distribution theory, the distributional valued energy-momentum tensor for the Schwarzschild spacetime is disscused. This approach avoids the problems associated with the regularization of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. R. Pantoja , H. Rago

For an island-like distribution of matter the gravitational energy-momentum tensor is defined according to Weinberg as a source of metric. If this source is formed by self-interactions of gravitons, so that nonphysical degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. I. Nikishov

Using distributional techniques we calculate the energy--momentum tensor of the Schwarzschild geometry. It turns out to be a well--defined tensor--distribution concentrated on the $r=0$ region which is usually excluded from space--time.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Herbert Balasin , Herbert Nachbagauer

For Schwarzschild space-time, distributional expressions of energy-momentum densities and of scalar concomitants of the curvature tensors are examined for a class of coordinate systems which includes those of the Schwarzschild and of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Toshiharu Kawai , Eisaku Sakane

Moeller's energy-momentum complex is employed in order to determine the energy and momentum distributions for a spacetime described by a "generalized Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane in an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. Radinschi , Th. Grammenos

We evaluate the energy distributions of the Dymnikova space-time using the Weinberg, Papapetrou, and M{\o}ller energy-momentum complexes. This result sustain the importance of the energy-momentum complexes in the evaluation of the energy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I-Ching Yang , Irina Radinschi

An analysis of the energy-momentum localization for a four-dimensional\break Schwarzschild black hole surrounded by quintessence is presented in order to provide expressions for the distributions of energy and momentum. The calculations are…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Irina Radinschi , Theophanes Grammenos , Andromahi Spanou

The case of asymptotic Minkowskian space-times is considered. A special class of asymptotic rectilinear coordinates at the spatial infinity, related to a specific system of free falling observers, is chosen. This choice is applied in…

General Relativity and Quantum Cosmology · Physics 2013-05-17 Ramon Lapiedra , Juan Antonio Morales-Lladosa

In this paper, utilizing M{\o}ller's energy-momentum complex, we explicitly evaluate the energy and momentum density associated with a metric describing a four-dimensional, Schwarzschild-like, spacetime derived from an effective gravity…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Th. Grammenos , I. Radinschi

The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

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

In general relativity one of the most fundamental issues consists in defining a generally acceptable definition for the energy-momentum density. As a consequence, many coordinate-dependent definitions have been presented, whereby some of…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Irina Radinschi , Theophanes Grammenos , Andromahi Spanou

There are various formulations of energy--momentum tensors for an electromagnetic field in a linear dielectric. The total energy--momentum tensor, comprised of electromagnetic and material components, must be unique. We discuss the…

Optics · Physics 2017-11-07 Michael E. Crenshaw

In the literature one often finds the claim that there is no such thing as an energy-momentum tensor for the gravitational field, and consequently, that the total energy-momentum conservation can only be defined in terms of a gravitational…

General Relativity and Quantum Cosmology · Physics 2014-08-08 H. Nikolic

In a previous paper, we proposed a new gravitational energy momentum tensor. Here we use this tensor to evaluate the gravitational energies both inside and outside the horizon of a Schwarzschild black hole. Our results show that all of the…

General Physics · Physics 2016-08-26 Katsutaro Shimizu

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 derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

General Physics · Physics 2016-04-11 Chris Fietz

We apply the conical singularity method to the two dimensional version of the Schwarzschild metric to obtain the Kruskal coordinates of the black hole in a very simple and direct way. Then we make use of this metric in an approximated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Alves

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Babak , L. P. Grishchuk

The evaluation of the energy-momentum distribution for a new four-dimensional, spherically symmetric, static and charged black hole spacetime geometry with constant non-zero topological Euler density is performed by using the…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Irina Radinschi , Theophanes Grammenos , Farook Rahaman , Andromahi Spanou , Marius Mihai Cazacu , Surajit Chattopadhyay , Antonio Pasqua

We exploit once again the analogy between the energy-momentum tensor and the so-called ``superenergy'' tensors in order to build conserved currents in the presence of Killing vectors. First of all, we derive the divergence-free property of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ruth Lazkoz , José M. M. Senovilla , Raül Vera
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