Black bounces in conformal Killing gravity

TL;DR

This paper explores black bounce solutions within conformal Killing gravity coupled with nonlinear electrodynamics and scalar fields, extending existing solutions and identifying new geometries with potential regularity benefits.

Contribution

It introduces novel NLED Lagrangians and scalar potentials, extending the class of black bounce solutions in conformal Killing gravity and analyzing their regularity properties.

Findings

Extended static, spherically symmetric solutions in CKG with NLED and scalar fields.

Discovered new classes of black bounce geometries, including generalizations of Bardeen and Simpson-Visser.

Analyzed regularity conditions of the extended solutions.

Abstract

In this work, we analyse black bounce solutions in the recently proposed ``Conformal Killing gravity'' (CKG), by coupling the theory to nonlinear electrodynamics (NLED) and scalar fields. The original motivation of the theory was essentially to fulfil specific criteria that are absent in existing gravitational theories, namely, to obtain the cosmological constant as an integration constant, derive the energy-momentum conservation law as a consequence of the gravitational field equations, rather than assuming it, and not necessarily considering conformally flat metrics as vacuum solutions. In this work, we extend the static and spherically symmetric solutions obtained in the literature, and explore the possibility of black bounces in CKG, coupled to NLED and scalar fields. We find novel NLED Lagrangian densities and scalar potentials, and extend the class of black bounce solutions found in the literature. Furthermore, within black bounce geometries, we find generalizations of the Bardeen-type and Simpson-Visser geometries and explore the regularity conditions of the solutions.