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

TL;DR

This paper investigates how energy and momentum are distributed around a Schwarzschild black hole influenced by quintessence, using specific energy-momentum complexes, revealing that momenta vanish and energy depends on black hole parameters.

Contribution

It provides explicit expressions for energy and momentum distributions in Schwarzschild-quintessence spacetime using Landau-Lifshitz and Weinberg complexes, including special cases.

Findings

All momenta vanish in the analyzed spacetime.

Energy depends on black hole mass, quintessence parameter, and normalization.

Special case w_q = -2/3 is analyzed.

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.