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

TL;DR

This paper investigates the energy distribution of a class of regular black holes in teleparallel gravity using Hamiltonian methods, revealing results consistent with those in General Relativity.

Contribution

It introduces a Hamiltonian approach to compute energy-momentum distribution for regular black holes in teleparallel gravity, highlighting parameter dependence.

Findings

Energy distribution depends on parameters nd eta.

Results match energy-momentum prescriptions in General Relativity.

Provides a consistent energy-momentum analysis 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.