Antisymmetric tensor influence on charged black hole lensing phenomena and time delay

TL;DR

This paper explores how antisymmetric tensor-induced Lorentz violation affects gravitational lensing and time delay around charged black holes, using weak and strong deflection theories to analyze observable phenomena.

Contribution

It introduces a novel analysis of black hole lensing incorporating Lorentz violation via an antisymmetric tensor, applying both weak and strong deflection limits.

Findings

Relativistic image positions depend on Lorentz violation parameters.

Time delay measurements are affected by antisymmetric tensor influence.

Lensing observables for Sagittarius A* are derived as functions of Lorentz violation.

Abstract

In this work, we investigate the gravitational lensing of a charged black hole (spherically symmetric) within the context of Lorentz violation triggered by an antisymmetric tensor field. Our calculations consider two different scenarios: the weak and strong deflection limits. For the weak deflection limit, we employ the Gauss-Bonnet theorem to obtain our results. In the strong deflection limit, we utilize the Tsukamoto methodology, which provides measurable outcomes such as relativistic image positions and magnifications. Applying the latter methodology, we analyze the gravitational lensing by Sagittarius $A^{*}$ and derive the related observables, which are expressed as functions of the Lorentz violation parameter. Finally, the time delay is addressed as well.