A new model of regular black hole in $(2+1)$ dimensions

Abstract

We provide a new regular black hole solution in $(2+1)$ dimensions with presence of matter fields in the energy momentum tensor, having its core a flat or (A)dS structure. Since the first law of thermodynamics for regular black holes is modified by the presence of the matter fields, we provide a new version of the first law, where a local definition of the variation of energy is defined, and, where the entropy and temperature are consistent with the previously known in literature. It is shown that the signs of the variations of the local definition of energy and of the total energy coincide. Furthermore, at infinite, the usual first law $dM=TdS$ is recovered. It is showed that the formalism used is effective to compute the total energy of regular black holes in $(2+1)$ with presence of matter in the energy momentum tensor. This latter suggests the potential applicability of this formalism to calculate the mass of other models of regular black holes in $d\ge 4$ dimensions.

arXiv commentaccepted for publication in EPL

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• A new class of regular Black Holes in Einstein Gauss Bonnet gravity with localized sources of matter
• Symmetric black-to-white hole solutions with a cosmological constant
• New models of d-dimensional black holes without inner horizon and with an integrable singularity
• Three dimensional charged black holes in Gauss-Bonnet gravity
• New regular 2+1 black hole solutions from bilocal gravity
• Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity