Complete classification of photon escape in the Kerr black hole spacetime
General Relativity and Quantum Cosmology
2021-03-02 v2 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
We consider necessary and sufficient conditions for photons emitted from the vicinity of a Kerr black hole horizon to escape to infinity. The radial equation of motion determines necessary conditions for photons to reach infinity, and the polar angle equation of motion further restricts the allowed region of photon motion. Unlike emission from the equatorial plane, the latter restrictions are crucial for photon escape when the initial polar angle of the emission point is arbitrary. We provide a visualization tool to analyze these two conditions and demonstrate a procedure for revealing photon escape. Finally, we completely identify the two-dimensional impact parameter space in which photons can escape.
Keywords
Cite
@article{arxiv.2011.04380,
title = {Complete classification of photon escape in the Kerr black hole spacetime},
author = {Kota Ogasawara and Takahisa Igata},
journal= {arXiv preprint arXiv:2011.04380},
year = {2021}
}
Comments
16 pages, 15 figures