Comment on "Construction of regular black holes in general relativity"

TL;DR

This paper critiques a previous work on regular black holes in general relativity coupled with nonlinear electrodynamics, clarifying misinterpretations of physical parameters and providing corrected solutions and interpretations.

Contribution

It offers a corrected interpretation of physical parameters and complete black hole solutions, addressing inconsistencies in prior work on regular black holes in GR with NED.

Findings

Corrected the interpretation of physical parameters in black hole solutions.

Provided complete black hole solutions with proper physical parameter treatment.

Ensured consistency with weak field limits and physical interpretations.

Abstract

We claim that the physical parameters of the constructed black hole solutions in general relativity (GR) coupled to nonlinear electrodynamics (NED) by Zhong-Ying Fan and Xiaobao Wang in the Paper [Phys. Rev. D 94, 124027 (2016)] are misinterpreted, despite the formalism being correct. We argue that because of these misinterpretations, the derived black hole solutions and the Lagrangian densities presented in that paper are slightly inconsistent. In this comment, we present complete black hole solutions of the given Lagrangian densities which correct the interpretation of the physical parameters of the constructed black hole solutions and lead to the correct treatment and weak field limits of the physical parameters of the constructed solutions.