Schwarzschild black hole surrounded by quintessence: Null geodesics

TL;DR

This paper analyzes the paths of light around a Schwarzschild black hole influenced by quintessence dark energy, providing exact solutions and studying photon orbits and deflection angles.

Contribution

It presents exact solutions for null geodesics in a Schwarzschild black hole with quintessence, including detailed analysis of photon orbits and deflection angles.

Findings

Exact solutions for null geodesics using Jacobi-elliptic integrals

Detailed analysis of photon circular orbits

Computed photon deflection angles in quintessence-influenced spacetime

Abstract

We have studied the null geodesics of the Schwarzschild black hole surrounded by quintessence matter. Quintessence matter is a candidate for dark energy. Here, we have done a detailed analysis of the geodesics and exact solutions are presented in terms of Jacobi-elliptic integrals for all possible energy and angular momentum of the photons. The circular orbits of the photons are studied in detail. As an application of the null geodesics, the angle of deflection of the photons are computed.