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.