4.5 Article

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

期刊

CHINESE PHYSICS B
卷 19, 期 2, 页码 -

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IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/19/2/020401

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teleparallel equivalent of general relativity; brane world black holes; gravitational energy-momentum tensor; regularized expression of the gravitational energy-momentum

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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 of using a static space-time, 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.

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