Energy Distribution of a Regular Class of Exact Black Hole Solutions

TL;DR

This paper calculates the energy distribution of a specific class of regular black hole solutions in Einstein's gravity coupled with nonlinear electrodynamics, using multiple energy-momentum complexes, and discusses how parameters affect the results.

Contribution

It provides explicit energy expressions for a class of regular black holes and compares different energy-momentum prescriptions, highlighting the role of source parameters.

Findings

Energy distributions depend on parameters nd eta.

Different prescriptions yield consistent energy results.

Parameter variations influence the black hole's energy profile.

Abstract

In this paper we present the expressions for the energy of a regular class of exact black hole solutions of Einstein's equations coupled with a nonlinear electrodynamics source. We calculate the energy distribution using the Einstein, Weinberg and M{\o}ller prescriptions. We make a discussion of the results in function of two specific parameters, a sort of dipole and quadrupole moments of the nonlinear source $\alpha$ and $\beta$, and in addition a study of some particular cases is performed.