Gravitational lensing by a Lorentz-violating black hole

Abstract

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing effects under the strong field limit. In particular, we analytically derive the deflection angle so that the lens equation can also be addressed. This methodological approach yields physically measurable outcomes, including the determination of relativistic image positions and their corresponding magnifications. As an application of this methodology, we consider the gravitational lensing by Sagittarius A${}^{\ast }$ and obtain the corresponding observables expressed as functions of the LV parameter.

22 pages, minor corrections, references added -- version accepted for publication in EPJPLUS