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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

Gravitational radiation in plane-symmetric space-times can be encoded in a complex potential, satisfying a non-linear wave equation. An effective energy tensor for the radiation is given, taking a scalar-field form in terms of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

In the context of a gauge theory for the translation group, a conserved energy-momentum gauge current for the gravitational field is obtained. It is a true spacetime and gauge tensor, and transforms covariantly under global Lorentz…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

The gravitational energy-momentum within a small region as determined by two tetrad-teleparallel expressions is evaluated with the aid of an orthonormal frame adapted to Riemann normal coordinates. We find that the gauge current "tensor"…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lau Loi So , James M. Nester

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity…

Mathematical Physics · Physics 2012-07-03 Waldyr A. Rodrigues

We consider gravitational self interaction in the lowest approximation and assume that graviton interacts with gravitational energy-momentum tensor in the same way as it interacts with particles. We show that, using gravitational vertex…

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

We analyze the energy configuration of a charged black hole in the Teleparallel Framework of General Relativity. We obtain the energy-momentum tensor of the gravitational field in a stationary frame, and we calculate its contribution to the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Luciano Combi , Gustavo E. Romero

An effective energy tensor for gravitational radiation is identified for uniformly expanding flows of the Hawking mass-energy. It appears in an energy conservation law expressing the change in mass due to the energy densities of matter and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sean A. Hayward

In present article the original proposition is a generalization of the Einstein's world tensor $g_{ij}$ by the introduction of pure inertial field tensor $g^{ac}_{ij}$ such that…

General Physics · Physics 2020-05-19 J. Foukzon , S. A. Podosenov , A. A. Potapov , E. Menkova

It has been shown that t00 component of the energy-momentum pseudotensor in the case of cylindrically symmetrical static gravitational field cannot be interpreted as energy density of the gravitation field. An approach has been suggested…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roald Sosnovskiy

Gravitational redshift is generally reported by most of the authors without considering the influence of the energy of the test particle using various spacetime geometries such as Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman…

General Physics · Physics 2017-10-06 Anuj Kumar Dubey , A. K. Sen , Bijoy Mazumdar

The energy-momentum for a gravitating system can be considered by the tetard teleparalle gauge current in orthonormal frames. Whereas the Einstein pseudotensor used holonomic frames. Tetrad expression itself gives a better result for…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Lau Loi So

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Michael Zlotnikov

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

Einstein, when he began working on the general theory of relativity, believed that energy of any kind is the source of the gravitational field. Therefore, the energy of gravity, like any energy, must be the source of the field. It was…

General Physics · Physics 2025-04-22 V. B. Morozov

A suitable derivative of Einstein's equations in the framework of the teleparallel equivalent of general relativity (TEGR) yields a continuity equation for the gravitational energy-momentum. In particular, the time derivative of the total…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. W. Maluf , F. F. Faria

In the article {\it Gen. Rel. Grav.} {\bf 32}, 1633 (2000), by J. G. Pereira and C. M. Zhang, the special relativity energy-momentum tensor was used to discuss the neutrino phase-splitting in a weak gravitational field. However, it would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. G. Pereira , C. M. Zhang

We examine the Einstein equation with the energy-momentum tensors which correspond to an infinite line string of finite radius plus an outgoing radiation field. It is used to see the effect of the radiation field on the spacetime of a…

High Energy Physics - Theory · Physics 2009-11-10 Wung-Hong Huang

We derive two new retarded solutions in the teleparallel theory equivalent to general relativity (TEGR). One of these solutions gives a divergent energy. Therefore, we used the regularized expression of the gravitational energy-momentum…

General Relativity and Quantum Cosmology · Physics 2011-04-21 G. G. L. Nashed

Detailed study of the energy and momentum carried by the electromagnetic field can be a source of clues to possible new physics underlying the Maxwell Equations. But such study has been impeded by expressions for the parameters of the…

General Physics · Physics 2021-05-11 Oliver Davis Johns