Energy Contents of a Class of Regular Black Hole Solutions in Teleparallel Gravity

Abstract

In this paper, we discuss the energy-momentum problem in the realm of teleparallel gravity. The energy-momentum distribution for a class of regular black holes coupled with a non-linear electrodynamics source is investigated by using Hamiltonian approach of teleparallel theory. The generalized regular black hole contains two specific parameters $\alpha$ and $\beta$ (a sort of dipole and quadrupole of non-linear source) on which the energy distribution depends. It is interesting to mention here that our results exactly coincide with different energy-momentum prescriptions in General Relativity.

13 pages, accepted for publication Mod. Phys. Lett. A

References in corpus (4)

• The angular momentum of the gravitational field and the Poincare group
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
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Cited by in corpus (3)

• Energy conditions in generalized teleparallel gravity models
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes