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

doi:10.1088/1674-1056/19/2/020401

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.

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

Received: 22 January 2009
Revised: 14 June 2009
Accepted manuscript online:

PACS:	04.70.-s	(Physics of black holes)
	04.50.-h	(Higher-dimensional gravity and other theories of gravity)
	11.25.Wx	(String and brane phenomenology)
	04.20.Gz	(Spacetime topology, causal structure, spinor structure)
	02.40.-k	(Geometry, differential geometry, and topology)

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Gamal G.L. Nashed Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum 2010 Chin. Phys. B 19 020401

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

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