Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum |
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Authors: | Gamal GL Nashed |
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Institution: | Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City, Misr -- Ismalia Desert Road, Postal No. 11837, P.O. Box 43, Egypt |
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Abstract: | 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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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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