Optical properties of null geodesics emerging from dynamical systems
General Relativity and Quantum Cosmology
2022-05-12 v1 High Energy Physics - Theory
Abstract
We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein's equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu-Sato (TS) metric.
Cite
@article{arxiv.2205.05308,
title = {Optical properties of null geodesics emerging from dynamical systems},
author = {D. Batic and S. Chanda and P. Guha},
journal= {arXiv preprint arXiv:2205.05308},
year = {2022}
}
Comments
18 pages, 3 figures