A new class of regular black hole solutions with quasi-localized sources of matter in $(2 + 1)$ dimensions

TL;DR

This paper introduces a novel class of regular black hole solutions in (2+1) dimensions with quasi-localized matter sources, proposing a generalized energy density model and a revised thermodynamic first law to address inconsistencies.

Contribution

It generalizes the quasi-localized matter model for regular black holes and proposes a new first law of thermodynamics suited for these solutions.

Findings

New regular black hole solutions with unique horizon features

A generalized energy density model compatible with quasi-locality

A revised first law of thermodynamics for regular black holes

Abstract

This paper investigates a new class of regular black hole solutions in (2 + 1)-dimensions by introducing a generalization of the quasi-localized matter model proposed by Estrada and Tello-Ortiz. Initially, we try to physically interpret the matter source encoded in the energy-momentum tensor as originating from nonlinear electrodynamics. We show, however, that the required conditions for the quasi-locality of the energy density are incompatible with the expected behavior of nonlinear electrodynamics, which must tend to Maxwell's theory on the asymptotic limit. Despite this, we propose a generalization for the quasi-localized energy density that encompasses the existing models in the literature and allows us to obtain a class of regular black hole solutions exhibiting remarkable features on the event horizons and their thermodynamic properties. Furthermore, since the usual version of the first law of thermodynamics, due to the presence of the matter fields, leads to incorrect values of entropy and thermodynamics volume for regular black holes, we propose a new version of the first law for regular black holes.