Regular black holes in $f(G)$ gravity

Abstract

In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the $f(G)$ theory, where $G$ is the Gauss-Bonnet invariant. This type of solution arises due to the coupling between gravitational theory and nonlinear electrodynamics. We construct the formalism in terms of a mass function and it results in different gravitational and electromagnetic theories for which mass function. The electric field of these solutions are always regular and the strong energy condition is violated in some region inside the event horizon. For some solutions, we get an analytical form for the $f(G)$ function. Imposing the limit of some constant going to zero in the $f(G)$ function we recovered the linear case, making the general relativity a particular case.

22 pages, 25 figures.Version published in EPJC

References in corpus (22)

• f(R,T) gravity
• The teleparallel equivalent of general relativity
• Rotating regular black holes
• Construction of Regular Black Holes in General Relativity
• Regular black holes with a nonlinear electrodynamics source
• Generating rotating regular black hole solutions without complexification
• Construction of cosmologically viable f(G) gravity models
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Rotating Regular Black Hole Solution
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Dynamical behavior in $f(T,T_G)$ cosmology
• Energy Conditions in Modified $f(G)$ Gravity
• Anisotropic Universe Models in f(T) Gravity
• Cosmological applications of $F(T,T_G)$ gravity
• Bardeen Regular Black Hole With an Electric Source
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Gauss-Bonnet Gravitational Baryogenesis
• A new general relativistic contribution to Mercury's perihelion advance
• Growth factor in $f(T,\mathcal{T})$ gravity
• Modified Gauss-Bonnet Gravity with Radiating Fluids

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• Black Bounces with multiple throats and anti-throats
• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
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• Cosmological implications of Rastall-$f(R)$ theory
• Source of black bounces in Rastall gravity
• Orbits around a black bounce spacetime
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• A regular metric does not ensure the regularity of spacetime
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• Gravitational memory effects of black bounces and a traversable wormhole
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Three dimensional black bounces in $f(R)$ gravity
• Roche limit and stellar disruption in the Simpson--Visser spacetime
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• Conflict between some higher-order curvature invariant terms