Regular Black Holes in an Asymptotically De Sitter Universe

Abstract

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis is put on the degenerate configurations (when at least two horizons coincide) and their near horizon geometry. It is explicitly demonstrated that approximating the metric potentials in the region between the horizons by simple functions and making use of a limiting procedure one obtains the solutions constructed from maximally symmetric subspaces with different absolute values of radii. Topologically they are AdS2 × S 2 for the cold black hole, dS2 × S 2 when the event and cosmological horizon coincide, and the Plebański-Hacyan solution for the ultraextremal black hole. A physically interesting solution describing the lukewarm black holes is briefly analyzed.

Localization of energy for a regular black hole solution in an asymptotically de Sitter spacetime geometry

“…The above solution describes the spacetime geometry of the so called ABGB-de Sitter black hole which is nonsingular at = 0, as it is shown in [66]. Furthermore, close to the center the ABGB-dS spacetime can be approximated by the de Sitter solution given by…”

“…At this point, though the asymptotic behaviour of the energies can easily be inferred from the calculations already performed for the exact metric, we deem it appropriate to refer explicitly to two particular cases in order to emphasize the two extreme configurations brought out by Matyjasek et al [66].…”

“…Thus, the ABGB solution describes a regular, static and spherically symmetric black hole with mass parameter M and magnetic charge Q. Referring to very recent work [66] where the ABGB solution has been extended to the asymptotically de Sitter spacetime geometry whereby a positive cosmological constant is assumed, we consider this specific spacetime (henceforth ABGB-dS) that describes a non-singular solution of gravity coupled with the equations of non-linear electrodynamics. In particular, the action used is the following:…”

“…The localization of energy for non-singular black hole solutions by using different energy-momentum complexes has been activated rather recently, when interesting studies [60][61][62][63] arose. In particular, the energy of the Ayón-Beato-García black hole solution has been computed in [64,65] by using the Einstein, Weinberg and Møller prescriptions, while in our paper we study the energy and momentum distribution of the Ayón-Beato-García-Bronnikov-de Sitter (ABGB-dS) regular black hole in an asymptotically de Sitter spacetime geometry [66]. Our calculations have been performed by applying the Einstein, Landau-Lifshitz, Weinberg and Møller prescriptions and using Mathematica and Maple, the last having attached the GrTensor platform.…”

Regular black holes from electrically charged phantom fluids

“…Other regular black holes, for instance, for nonlinear electrodynamics sources have been found 6 , as well as regular black holes in nonminimal theories 7 . Regular black holes with a phantom core, i.e., whose matter core has an equation of state ρ m + p < 0 have also been discussed 8,9 .…”