J. T. S. S. Junior, F. S. N. Lobo, M. E. Rodrigues
Abstract
In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, f (Q ) gravity, by including a boundary term BQ, where Q is the non-metricity scalar. More specifically, we explore static and spherically symmetric black hole and regular black hole solutions in f (Q ,BQ) 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 fQ=-fB , where fQ=∂f /∂Q and fB=∂f/∂BQ . 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 LNLED(F) . Furthermore, we also obtain generalized solutions of the Bardeen and Culetu types of regular black holes, by imposing specific metric functions.
Keywords
General Relativity and Quantum Cosmology; High Energy Physics - Theory
The European Physical Journal C
Volume 84, Issue 3, Article 21
2024 March
