Deflection of Light Around a Rotating BTZ Black Hole

TL;DR

This paper investigates how the cosmological constant influences light deflection around a rotating BTZ black hole in (2+1) dimensions, revealing that increased negative cosmological constant slightly reduces the bending angle.

Contribution

It provides a detailed analysis of gravitational lensing and photon orbits in the context of rotating BTZ black holes, highlighting the effect of the cosmological constant in lower-dimensional gravity.

Findings

Bending angle decreases with increasing negative cosmological constant.

Photon orbits are affected by the cosmological constant and black hole parameters.

Differences observed between direct and retrograde photon motions.

Abstract

We present a detailed study of gravitational lensing around a rotating BTZ black hole in (2+1) dimensional gravity. The study of orbits for massless test particle around this BH spacetime is performed to describe the nature of cosmological constant in lower dimensions. We study the effect of cosmological constant on the photon orbit in view of other critical parameters. The bending angle of light is studied in view of different values of cosmological constant for direct and retrograde motion of test particles. It is being observed that the bending angle slightly decreases as the value of cosmological constant increases in the negative region.