Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World

Details Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World

2011-08-22

arxiv.org/abs/1108.4397v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

In general relativity one of the most fundamental issues consists in defining a generally acceptable definition for the energy-momentum density. As a consequence, many coordinate-dependent definitions have been presented, whereby some of them utilize appropriate energy-momentum complexes. We investigate the energy-momentum distribution for a metric exterior to a spherically symmetric black hole in the brane world by applying the Landau-Lifshitz and Weinberg prescriptions. In both the aforesaid prescriptions, the energy thus obtained depends on the radial coordinate, the mass of the black hole and a parameter $\lambda_{0}$, while all the momenta are found to be zero. It is shown that for a special value of the parameter $\lambda_{0}$, the Schwarzschild space-time geometry is recovered. Some particular and limiting cases are also discussed.

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