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

M. Pinto, R. V. Maluf, G. J. Olmo

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.

Keywords
General Relativity and Quantum Cosmology

European Physical Journal C - Particles and Fields
Volume 85, Number 835, Page 13
2025 August

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia