Source of black bounces in Rastall gravity

Abstract

In this study, we explore the black bounce solution in Rastall gravity and its potential source field, which can be described as a black hole or wormhole solution depending on certain parameters. We focus on the Bardeen-Type black bounce and Simpson-Visser solution and aim to identify an appropriate source field for these solutions. Our findings suggest that in Rastall gravity, a source for the black bounce solution with non-linear electromagnetic can be found. However, in the presence of a non-linear electromagnetic source, it is impossible to identify an appropriate source for the black bounce solution without a scalar field. We also investigate the energy conditions outside the event horizon for two types of black bounce solutions: Simpson-Visser and Bardeen. We find that these solutions do not satisfy the null energy condition, but we also reveal that Rastall gravity has more flexibility for maintaining some of the energy conditions by selecting an appropriate value for the Rastall parameter γ.