M�ller's tetrad theory of gravitation as a special case of Poincar� gauge theory?A coincidence?

Meyer, H.

doi:10.1007/bf00756215

Cited by 57 publications

(47 citation statements)

References 6 publications

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“…Saez (1983) generalized Møller theory into a scalar tetrad theory of gravitation. Meyer (1982) showed that Møller theory is a special case of Poincaré gauge theory (Nashed 2002). The super-potential of Møller in teleparallel gravity is given by Mikhail et al (1993) as…”

Section: Møller Energy-momentum Definition In Tgmentioning

confidence: 98%

Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

Aygün

Tarhan

Baysal

2008

Astrophys Space Sci

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In this paper, using the energy momentum definitions of the Einstein, Bergmann-Thomson, Landau-Lifshitz and Møller in general relativity (GR) and teleparallel gravity (TG), we have evaluated the energy-momentum distributions of Yilmaz-Rosen metric. We have obtained that these different energy-momentum definitions give different results in GR and TG. Furthermore these results are same in different gravitation theories and we get that both general relativity and teleparallel gravity are equivalent theories for Einstein, Bergmann-Thomson and Landau-Lifshitz prescriptions. Also, while the Møller energy definitions are same and zero but the momentum prescriptions are disagree in GR and TG.

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Section: Møller Energy-momentum Definition In Tgmentioning

confidence: 98%

Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

Aygün

Tarhan

Baysal

2008

Astrophys Space Sci

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“…Saez [18] generalized Møller theory into a scalar tetrad theory of gravitation. Meyer [19] showed that Møller theory is a special case of Poincaré gauge theory [20,21].…”

Section: Møller's Definitionmentioning

confidence: 99%

On the energy-momentum in closed universes

Saltı

2006

Czech J Phys

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“…Saez [24] generalized Møller theory into a scalar tetrad theory of gravitation. Meyer [25] showed that Møller theory is a special case of Poincare gauge theory [26,27].…”

Section: Møller's Energy In Teleparallel Geometrymentioning

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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M�ller's tetrad theory of gravitation as a special case of Poincar� gauge theory?A coincidence?

Cited by 57 publications

References 6 publications

Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

On the energy-momentum in closed universes

Energy of a Stringy Charged Black Hole in the Teleparallel Gravity

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