Brane-world black holes and energy-momentum vector

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Salti M., Aydogdu O., Korunur M.

JOURNAL OF HIGH ENERGY PHYSICS, no.12, 2006 (SCI-Expanded) identifier identifier


The Brane-World black hole models are investigated to evaluate their relative energy and momentum components. We consider Einstein and Moller's energy-momentum prescriptions in general relativity, and also perform the calculation of energy-momentum density in Moller's tetrad theory of gravity. For the Brane-World black holes we show that although Einstein and Moller complexes, in general relativity give different energy relations, they yield the same results for the momentum components. In addition, we also make the calculation of the energy-momentum distribution in teleparallel gravity, and calculate exactly the same energy as that obtained by using Moller's energy-momentum prescription in general relativity. This interesting result supports the viewpoint of Lessner that the Moller energy-momentum complex is a powerful concept for the energy and momentum. We also give five different examples of Brane-World black holes and find the energy distributions associated with them. The result calculated in teleparallel gravity is also independent of the teleparallel dimensionless coupling constant, which means that it is valid in any teleparallel model. This study also sustains the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given space-time, and supports the hypothesis by Cooperstock that the energy is confined to the region of non-vanishing energy-momentum tensor of matter and all non-gravitational fields.