Buracos negros regulares na teoria de F(R,Q,P)

Abstract

In this work, we conducted a brief review of general concepts from Albert Einstein’s General Relativity theory, highlighting the necessary points to correlate them with spherically symmetric and non-rotating black hole solutions, characterized by the solutions produced by Schwarzschild and Reissner-Nordstr¨om. To analyze the black hole singularity problem and seek solutions for this issue, we were motivated by the works of Ay´on-Beato and Garcia, as well as Rodrigues and Silva, which involve regular black hole solutions based on nonlinear electrodynamics. Thus, using the formalism of curvature-invariant scalar theories F(R,Q,P) and nonlinear electrodynamics, we aimed to find regular black hole solutions via the Bardeen metric.