https://doi.org/10.1140/epjc/s10052-025-14585-0
Regular Article - Theoretical Physics
Regular black hole solutions in 
-dimensional f(R, T) gravity coupled to nonlinear electrodynamics
1
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
2
Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
3
Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, 60455-760, Fortaleza, CE, Brazil
4
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot, 46100, Valencia, Spain
Received:
19
May
2025
Accepted:
27
July
2025
Published online:
4
August
2025
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.
© The Author(s) 2025
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