Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime

TL;DR

This paper extends the Rindler-Ishak method to evaluate light deflection in Kerr-Newman anti de Sitter spacetime, analyzing how rotation, charge, and a negative cosmological constant influence gravitational lensing.

Contribution

It introduces an extension of the Rindler-Ishak method to Kerr-Newman anti de Sitter spacetime for calculating light deflection angles.

Findings

Rotation and charge affect the bending angle of light.

Astrophysical data shows measurable differences in lensing due to these effects.

Negative cosmological constant influences the deflection in the studied spacetime.

Abstract

The method of Rindler and Ishak enables one to study how light is bent in the vicinity of a non-rotating and spherically symmetric gravitational lens. This method mainly aims to investigate the role of cosmological constant in the consequent path. In this paper, we use the extension of Rindler-Ishak method (RIM) in order to evaluate the deflection angle of null geodesics in the equatorial plane of Kerr-Newman anti de Sitter (KNAdS) spacetime. We then use astrophysical data to see the effect of rotation and charge on the bending angle of light for seven distinct stars and two black holes under the assumption of having a KNAdS background with a negative cosmological constant $\Lambda$.