Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry

Abstract

An analysis of the energy-momentum localization for a four-dimensional Schwarzschild black hole surrounded by quintessence is presented in order to provide expressions for the distributions of energy and momentum. The calculations are performed by using the Landau-Lifshitz and Weinberg energy-momentum complexes. It is shown that all the momenta vanish, while the expression for the energy depends on the mass M of the black hole, the state parameter wq and the normalization factor c. The special case of wq=-2/3 is also studied, and two limiting cases are examined.

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