The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

Details The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

2009-11-10

arxiv.org/abs/0911.1967v1

Int.J.Theor.Phys.48:248-255,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1007/s10773-008-9799-6

According to the Einstein, Weinberg, and M{\o}ller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear electrodynamics suggested by Ay\'{o}n-Beato and Garc\'{i}a. The results show that the energy associated with the definitions of Einstein and Weinberg are the same, but M{\o}ller not. Using the power series expansion, we find out that the first two terms in the expression are the same as the energy distributions of the Reissner-Nordstr\"{o}m solution, and the third term could be used to survey the factualness between numerous solutions of the Einstein field eqautions coupled to a nonlinear electrodynamics.

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