Gravitational lensing for a boosted Kerr black hole in the presence of plasma

TL;DR

This paper calculates the gravitational lensing deflection angle for a boosted Kerr black hole in plasma environments, considering various plasma distributions and the effects of black hole motion and plasma on light bending.

Contribution

It introduces a novel analysis of light deflection around a boosted Kerr black hole in plasma, incorporating plasma distributions and black hole boost effects.

Findings

Boosted Kerr black hole affects light deflection angle.

Plasma distributions influence gravitational lensing.

Black hole boost and plasma properties alter magnification.

Abstract

We obtain the deflection angle for a boosted Kerr black hole in the weak field approximation. We also study the behavior of light in the presence of plasma by considering different distributions: singular isothermal sphere, non-singular isothermal gas sphere, and plasma in a galaxy cluster. We find that the dragging of the inertial system along with the boosted parameter $\Lambda$ affect the value of the deflection angle. As an application, we studied the magnification for both uniform and SIS distributions.