The Null Geodesics of the Kerr Exterior
General Relativity and Quantum Cosmology
2020-07-21 v3 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
The null geodesic equation in the Kerr spacetime can be expressed as a set of integral equations involving certain potentials. We classify the roots of these potentials and express the integrals in manifestly real Legendre elliptic form. We then solve the equations using Jacobi elliptic functions, providing the complete set of null geodesics of the Kerr exterior as explicit parameterized curves.
Keywords
Cite
@article{arxiv.1910.12881,
title = {The Null Geodesics of the Kerr Exterior},
author = {Samuel E. Gralla and Alexandru Lupsasca},
journal= {arXiv preprint arXiv:1910.12881},
year = {2020}
}
Comments
24 pages, 4 figures. v2: minor edits, matches published version. v3: corrected errors found after publication