Orbits around a black bounce spacetime

TL;DR

This paper investigates particle and photon trajectories around a black bounce spacetime, specifically the Simpson-Visser model, analyzing geodesics and stability to understand how nonlinear electrodynamics influences photon paths.

Contribution

It provides a detailed analysis of geodesics and stability in a black bounce spacetime, incorporating effects of nonlinear electrodynamics on photon trajectories.

Findings

Photon trajectories are affected by nonlinear electrodynamics corrections.

Stable and unstable circular orbits are characterized through effective potential analysis.

Differences between geodesics in the usual and effective metrics are identified.

Abstract

In this work, the trajectories of particles around a black bounce spacetime are considered, with the Simpson-Visser model serving as an example. Trajectories for massless and massive particles are obtained through the study of null and time-like geodesics. As the Simpson-Visser solution is derived via the Einstein equations for a source involving nonlinear electrodynamics and a scalar field, photon trajectories are investigated by considering an effective metric in which photons follow null geodesics. The stability of circular orbits is analyzed by examining the behavior of maxima and minima of the effective potential associated with geodesics. It is also studied what type of geodesic photons follow when the usual metric is considered instead of the effective one. The main focus of this work is to obtain corrections to the trajectories of photons when considering that the solution arises from nonlinear electrodynamics.