Deflection of light ray due to a charged body using Material Medium Approach

TL;DR

This paper derives analytical expressions for the deflection of light by charged bodies in Reissner-Nordström and JNW geometries using a material medium approach, revealing opposite effects of charge on light bending.

Contribution

It introduces a novel analytical method to calculate light deflection without weak field approximation for charged bodies in specific geometries.

Findings

Charge decreases deflection in RN geometry.

Charge increases deflection in JNW geometry.

Method applied to pulsar PSRB1937+21 as a test case.

Abstract

The gravitational deflection of light ray is an important prediction of General Theory of Relativity. In this paper we develop analytical expression of the deflection of light ray without any weak field approximation due to a charged gravitational body represented by Reissner_Nordstr\"om (RN) and Janis-Newman-Winicour (JNW) space time geometry, using material medium approach. It is concluded that although both the geometries represent the charged, non-rotating, spherically symmetric gravitating body, but the effect of charge on the gravitational deflection is just opposite to each other. The gravitational deflection decreases with charge in the RN geometry and increases with charge in the JNW geometry. The calculations obtained here are compared with other methods done by different authors. The formalism is applied to an arbitrary selected pulsar PSRB1937+21 as a gravitating body, as a test case.