Spin and Angular Momentum in General Relativity

Bergmann, Peter G.; Thomson, Robb

doi:10.1103/physrev.89.400

Cited by 265 publications

(270 citation statements)

References 7 publications

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“…It is believed that the energy of the gravitational field is not localizable, i.e., defined in a finite region of the space. The gravitational field does not possess the proper definition of an energy momentum tensor and one usually defines some energy-momentum as Tolamn [1], Landau-Lifschitz [2], Goldberg [3], Bergmann [4], Møller [5], Komar [6], Arnowit et al [7] Nahmed-Achar and Schutz [8], Bratnik [9], Kataz and Ori [10] etc. which are pseudo-tensors and depend on the second derivative of the metric tensor.…”

Section: Introductionmentioning

confidence: 99%

Møller's Energy of Kerr-NUT Metric

Nashed

2008

Chinese Phys. Lett.

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Section: Introductionmentioning

confidence: 99%

Møller's Energy of Kerr-NUT Metric

Nashed

2008

Chinese Phys. Lett.

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“…The oldest approach is based on pseudotensors [16,17], † Throughout this paper we use the relativistic units , c = G = 1 and κ = 8π.…”

Section: The Tegr For Gravitation Energy Momentum Angular-momentummentioning

confidence: 99%

“…It is believed that the energy of the gravitational field is not localizable, i.e., defined in a finite region of the space. The gravitational field does not possess the proper definition of an energy momentum tensor and one usually defines some energy-momentum and angularmomentum as Bergmann [16] or Landau-Lifschitz [17] which are pseudo-tensors and depend on the second derivative of the metric tensor. These quantities can be annulled by an adequate transformation of coordinate.…”

Section: Introductionmentioning

confidence: 99%

Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum

Nashed¹

2010

Chinese Phys. B

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The energy-momentum tensor, which is coordinate independent, is used to calculate energy, momentum and angular-momentum of two different tetrad fields. Although, the two tetrad fields reproduce the same space-time their energies are different. Therefore, a regularized expression of the gravitational energy-momentum tensor of the teleparallel equivalent of general relativity, (TEGR), is used to make the energies of the two tetrad fields equal. The definition of the gravitational energy-momentum is used to investigate the energy within the external event horizon. The components of angular-momentum associated with these space-times are calculated. In spite that we use a static space-times, we get a non-zero component of angular-momentum! Therefore, we derive the killing vectors associated with these space-times using the definition of the Lie derivative of a second rank tensor in the framework of the TEGR to make the picture more clear.Keywords: Teleparallel equivalent of general relativity, Brane world black holes, Gravitational energy-momentum tensor, Regularized expression of the gravitational energy-momentum.

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“…He also noted that t µ ν was not a tensor, but concluded that the equations given above hold good in all coordinate systems since they were directly obtained from the principle of general relativity. In literature, after Einstein's expression for the energy and momentum distributions of the gravitational field, many attempts have been proposed to resolve the gravitational energy-momentum problem [2,3,4,5,6,7,8,9,10]. The Møller energy-momentum prescription does not necessitate carrying out calculation in "Cartesian" coordinates, while the others do.…”

Section: Introductionmentioning

confidence: 99%

Energy of a Stringy Charged Black Hole in the Teleparallel Gravity

Saltı

2006

Astrophys Space Sci

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We use the teleparallel geometry analog of the Møller energy-momentum complex to calculate the energy distribution (due to matter plus field including gravity) of a charged black hole solution in heterotic string theory. We find the same energy distribution as obtained by Gad who investigated the same problem by using the Møller energy-momentum complex in general relativity. The total energy depends on the black hole mass M and charge Q. The energy obtained is also independent of the teleparallel dimensionless coupling constant, which means that it is valid not only in the teleparallel equivalent of general relativity, but also in any teleparallel model. Furthermore, our results also sustains (a) the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given spacetime and (b) the viewpoint of Lessner that the Møller energymomentum complex is a powerful concept of energy and momentum.

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Spin and Angular Momentum in General Relativity

Cited by 265 publications

References 7 publications

Møller's Energy of Kerr-NUT Metric

Møller's Energy of Kerr-NUT Metric

Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum

Energy of a Stringy Charged Black Hole in the Teleparallel Gravity

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