Energy Distribution of a Regular Class of Exact Black Hole Solutions

Abstract

In this paper we present the expressions for the energy of a regular class of exact black hole solutions of Einstein's equations coupled with a nonlinear electrodynamics source. We calculate the energy distribution using the Einstein, Weinberg and Møller prescriptions. We make a discussion of the results in function of two specific parameters, a sort of dipole and quadrupole moments of the nonlinear source $\alpha$ and $\beta$, and in addition a study of some particular cases is performed.

9 pages

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• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Effective gravitational mass of the Ayón-Beato and Garc\'ıa metric
• Energy Contents of a Class of Regular Black Hole Solutions in Teleparallel Gravity
• Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry