Regular black hole solutions in $(2+1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics

Abstract

In this paper, we investigate regular black hole solutions in the (2+1)-dimensional versions of General Relativity and $f(R,T)$ gravity, both coupled to nonlinear electrodynamics. By admitting that the matter content that generates such geometries satisfies the Maxwell limit condition, we obtain a class of regular black holes that give rise to new solutions and successfully reproduce particular cases found in earlier studies of (2+1)-dimensional General Relativity. Moreover, we discover the first regular black hole solutions in (2+1)-dimensional $f(R,T)$ gravity and explore both qualitatively and quantitatively the non-conservation of the energy-momentum tensor present in those solutions.

27 pages, 8 figures, 1 table, Published in: Eur.Phys.J.C 85 (2025) 8, 835

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• On energy-momentum conservation in non-minimal geometry-matter coupling theories