https://doi.org/10.1140/epjc/s10052-024-12696-8
Regular Article - Theoretical Physics
Black holes and regular black holes in coincident 
gravity coupled to nonlinear electrodynamics
1
Faculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
2
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
3
Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
4
Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará, Campus Universitário de Abaetetuba, 68440-000, Abaetetuba, Pará, Brazil
Received:
4
February
2024
Accepted:
18
March
2024
Published online:
29
March
2024
In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, 
gravity, by including a boundary term 
, where 
is the non-metricity scalar. More specifically, we explore static and spherically symmetric black hole and regular black hole solutions in gravity coupled to nonlinear electrodynamics (NLED). In particular, to obtain black hole solutions, and in order to ensure that our solutions preserve Lorentz symmetry, we assume the following relation 
, where 
and 
. We develop three models of black holes, and as the starting point for each case we consider the non-metricity scalar or the boundary term in such a way to obtain the metric functions A(r). Additionally, we are able to express matter through analytical solutions for specific NLED Lagrangians 
. Furthermore, we also obtain generalized solutions of the Bardeen and Culetu types of regular black holes, by imposing specific metric functions.
© The Author(s) 2024
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