Regular multihorizon black holes in General Relativity

Abstract

In this work, new solutions for regular black holes that have multihorizons are proposed. These are formed by the direct product of solutions already published in the literature, which are described through the coupling of gravity with nonlinear electrodynamics. We analyze the regularity of the spacetime, the electric field, and the energy conditions of each solution. The strong energy condition is always violated within the event horizon in all solutions, while other energy conditions depend on the ratio between extreme charges of isolated solutions. For solutions with four horizons, we present two examples, Bardeen-Culetu and Balart-Culetu. Both solutions are regular, but the first do not satisfy all the energy conditions, except the strong, because it has an extreme charge ratio of 1.57581, great value. The second solution, on the other hand, can satisfy all other energy conditions, except the SEC, and has an extreme charge ratio of 1.09915, a value that allows this feature. It's also proposed a regular solution with up to six horizons, Balart-Culetu-Dymnikova, where, for a given charge value, we can verify that it satisfies all energy conditions, except the strong one. This was possible due to the ratio between extreme charges that are neither too high nor too close. We propose solutions with any number of horizons. We show that points where $-F(r)$ has a non null minimum represent a cusp in the Lagrangian $-L(F)$. We also show an example of multihorizon solution with magnetic charge. Multihorizon solutions may exhibit exotic properties, such as negative energy density, or violation of energy conditions, but which can be circumvented with a selected choice of customized solutions and extreme charge values, resulting in regular black hole solutions that satisfy all energy conditions, less the strong.

arXiv comment17 pages, 18 figures

References in corpus (26)

• The Bardeen Model as a Nonlinear Magnetic Monopole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Construction of Regular Black Holes in General Relativity
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Regular black holes with a nonlinear electrodynamics source
• On the gravitational field of a mass point according to Einstein's theory
• Regular black hole metrics and the weak energy condition
• Non-linear electrodynamics and the acceleration of the universe
• On a regular charged black hole with a nonlinear electric source
• Vacuum magnetic linear birefringence using pulsed fields: the BMV experiment
• Regular black holes and energy conditions
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Nonlinear electrodynamics and magnetic black holes
• Inflation-Produced Magnetic Fields in Nonlinear Electrodynamics
• Optimizing Light-Shining-through-a-Wall Experiments for Axion and other WISP Searches
• Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics
• Faraday and Cotton-Mouton Effects of Helium at $\lambda =1064$ nm
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Rapidly rotating pulsar radiation in vacuum nonlinear electrodynamics
• Nonlinear electrodynamics and CMB polarization
• Comment on "Linear superposition of regular black hole solutions of Einstein nonlinear electrodynamics"
• Multirefringence phenomena in nonlinear electrodynamics
• One-way propagation of light in Born-Infeld-like metamaterials
• Thermodynamics of a Photon Gas in Nonlinear Electrodynamics

Cited by in corpus (15)

• Source of black bounces in general relativity
• Phase structure of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state
• Black holes and regular black holes in coincident $f(\mathbb{Q},{\mathbb{B}}_Q)$ gravity coupled to nonlinear electrodynamics
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Topological AdS black holes surrounded by Chaplygin dark fluid: from stability to geometrothermodynamic analysis
• Spherically symmetric and static black bounces with multiple horizons, throats, and anti-throats in four dimensions
• Source of black bounces in Rastall gravity
• Black holes immersed in polytropic scalar field gas
• Orbits around a black bounce spacetime
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Field Sources for Wormholes With Multiple Throats/Anti-throats
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Gravitational memory effects of black bounces and a traversable wormhole
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules