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

Abstract

It is claimed that the paper by Zhong-Ying Fan and Xiaobao Wang [Phys. Rev. D 94, 124027 (2016), arXiv: 1610.02636] on nonlinear electrodynamics coupled to general relativity, being correct in general, in some respects repeats previously obtained results without giving proper references. There is also an important point missing in this paper, but necessary for understanding the physics of the system: in solutions with an electric charge, a regular center requires a non-Maxwell behavior of the Lagrangian function $L(f),(f=F_{\mu \nu }{F}^{\mu \nu })$ at small $f$. Therefore, in all electric regular black hole solutions with a Reissner-Nordström asymptotic, the Lagrangian $L(f)$ is different in different parts of space, and the electromagnetic field behaves in a singular way at surfaces where $L(f)$ suffers branching.

arXiv comment3 pages, no figures. arXiv admin note: text overlap with arXiv:1708.08125

References in corpus (9)

• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Construction of Regular Black Holes in General Relativity
• Geometrical aspects of light propagation in nonlinear electrodynamics
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Regular black holes in an asymptotically de Sitter universe
• Inside the degenerate horizons of regular black holes
• Regular black holes in de Sitter universe: scalar field perturbations and quasinormal modes

Cited by in corpus (57)

• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
• Comment on "Construction of regular black holes in general relativity"
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
• Photon ring structure of rotating regular black holes and no-horizon spacetimes
• Imaging a non-singular rotating black hole at the center of the Galaxy
• Source of black bounces in general relativity
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations
• Testing strong gravitational lensing effects by supermassive compact objects with regular spacetimes
• Quasinormal modes, shadow and greybody factors of 5D electrically charged Bardeen black holes
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Constraints on singularity resolution by nonlinear electrodynamics
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• On the thermodynamics of the Hayward black hole
• Physical Properties of a Regular Rotating Black Hole: Thermodynamics, Stability, Quasinormal Modes
• Testing black holes in non-linear electrodynamics from the observed quasi-periodic oscillations
• Can a light ray distinguish charge of a black hole in nonlinear electrodynamics?
• Black Bounces with multiple throats and anti-throats
• Non-commutative inspired black holes in Euler-Heisenberg non-linear electrodynamics
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Signatures of regular black holes from the shadow of Sgr A* and M87*
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Tidal forces in dirty black hole spacetimes
• Light rings and causality for nonsingular ultracompact objects sourced by nonlinear electrodynamics
• Profiled spectral lines of Keplerian rings orbiting in the regular Bardeen black hole spacetimes
• Nonlinear electromagnetic fields in strictly stationary spacetimes
• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
• The connection between regular black holes in nonlinear electrodynamics and semi-classical dust collapse
• Overcharging magnetized black holes at linear order and the weak cosmic censorship conjecture
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Rotating normal and phantom Einstein--Maxwell--dilaton black holes: Geodesic analysis
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Lagrangian reverse engineering for regular black holes
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
• Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics
• Formation of regular black hole from baryonic matter
• A regular black hole as the final state of evolution of a singular black hole
• Source of black bounces in Rastall gravity
• Comment on "Linear superposition of regular black hole solutions of Einstein nonlinear electrodynamics"
• Neutrino pair annihilation above black-hole accretion disks in modified gravity
• Conundrum of regular black holes with nonlinear electromagnetic fields
• Signatures of regular black holes from the quasar continuum spectrum
• Weighing the curvature invariants
• Spin dynamics of moving bodies in rotating black hole spacetimes
• Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario
• Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model
• Three dimensional black bounces in $f(R)$ gravity
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• Bardeen-Kiselev black hole with cosmological constant
• Light curves of the hot spots on circular orbits around generic regular black holes related to non-linear electrodynamics with Maxwellian weak-field Limit
• How to obtain slow roll inflation driven by non-linear electrodynamics