Regular black holes: Guilfoyle's electrically charged solutions with a perfect fluid phantom core

Abstract

Regular black hole solutions are found among the Guilfoyle exact solutions. These are spherically symmetric solutions of general relativity coupled to Maxwell's electromagnetism and charged matter where the metric potentials and electromagnetic fields are related in some particularly simple form. We show that, for certain ranges of the parameters, there are objects which correspond to regular charged black holes, whose interior region is filled by an electrically charged phantom-like fluid, or, in the limiting case, a de Sitter false vacuum fluid, and whose exterior region is Reissner-Nordström. The boundary between both regions is a smooth boundary surface, except in the limiting case where the boundary is made of a massless electrically charged spherically symmetric coat. The main physical and geometrical properties of such charged regular solutions are analyzed.

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• Plethora of relativistic charged spheres: The full spectrum of Guilfoyle's static, electrically charged spherical solutions
• Quantum vacuum effects on the formation of black holes
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Stability of electrically charged stars, regular black holes, quasiblack holes, and quasinonblack holes
• Nonminimal dyons with regular gravitational, electric and axion fields
• Compact regular objects from an electrified Tolman-like density: A new interior region for the Kerr-Newman spacetime
• Effect of nonlinear electrodynamics on polarization distribution around black hole
• Rotating charged fluids: Theorems and results for Weyl-type systems