Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries

Abstract

This paper is devoted to study the energy problem in general relativity using approximate Lie symmetry methods for differential equations. We evaluate second-order approximate symmetries of the geodesic equations for the stringy charged black hole solutions. It is concluded that energy must be re-scaled by some factor in the second-order approximation.

18 pages, accepted for publication in Canadian J. Physics

References in corpus (3)

• General Formula for the Momentum Imparted to Test Particles in Arbitrary Spacetimes
• Approximate Noether Symmetries of the Geodesic Equations for the Charged-Kerr Spacetime and Rescaling of Energy
• The Relativistic Generalization of the Gravitational Force for Arbitrary Spacetimes