Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum

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 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.

24 pages. Will appear in Chinese Phys. No. 2 (2010)

References in corpus (6)

• The gravitational energy-momentum tensor and the gravitational pressure
• Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
• The angular momentum of the gravitational field and the Poincare group
• Quasilocal Center-of-Mass for Teleparallel Gravity
• Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry
• Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry

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