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

Abstract

An analysis of the energy-momentum localization for a four-dimensional\break 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 $w_q$ and the normalization factor $c$. The special case of $w_q=-2/3$ is also studied, and two limiting cases are examined.

9 pages

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Cited by in corpus (1)

• Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory