Energy of Bardeen Model Using Approximate Symmetry Method

Abstract

In this paper, we investigate the energy problem in general relativity using approximate Lie symmetry methods for differential equations. This procedure is applied to Bardeen model (the regular black hole solution). Here we are forced to evaluate the third-order approximate symmetries of the orbital and geodesic equations. It is shown that energy must be re-scaled by some factor in the third-order approximation. We discuss the insights of this re-scaling factor.

14 pages, no figure, accepted for publication in Physica Scripta

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• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
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