Charged black string bounce and its field source

Abstract

This work builds upon the previous article (Lima in Symmetry 15:150, 2023) and explores the solution of the charged black string introduced in Lemos (Phys Rev 54:3840-3853, 1996). The black bounce regularization method, based on the Simpson-Visser solution, is employed by transforming the radial variable using \(r\rightarrow \sqrt{r^2+a^2}\). The regular charged black string metric is defined, and the properties of event horizons, surface gravity, and Hawking temperature are investigated. The behavior of curvature quantities, including curvature invariants and tensors, is examined to verify the absence of singularities when \(a\ne 0\). The Einstein equation for the energy-momentum tensor is solved, and the null energy condition is analyzed for the obtained solution. The sources of this solution are evaluated, combining a scalar field with nonlinear electrodynamics. However, unlike other works, an electric field is considered instead of a magnetic field. Finally, the study calculates the possibility of stable or unstable circular orbits for massive and massless particles.