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Exact formulas for spherical photon orbits around Kerr black holes
Date
2020-11-01
Author
Tavlayan, Aydın
Tekin, Bayram
Metadata
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Exact formulas relating the radii of the spherical photon orbits to the black hole's rotation parameter and the effective inclination angle of the orbit have been known only for equatorial and polar orbits up to now. Here we provide exact formulas for nonequatorial orbits that lie between these extreme limits. For a given rotation parameter of the black hole, there is a critical inclination angle below which there are four null photon orbits two of which are in the exterior region. At the critical angle, the radii of these orbits are explicitly found. We also provide approximate but very accurate formulas for any orbit. To arrive at these analytical solutions, we carefully study the sextic polynomial in the radius that arises for null spherical geodesics.
Subject Keywords
Physics and Astronomy (miscellaneous)
URI
https://hdl.handle.net/11511/69557
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.102.104036
Collections
Department of Physics, Article
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A. Tavlayan and B. Tekin, “Exact formulas for spherical photon orbits around Kerr black holes,”
PHYSICAL REVIEW D
, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/69557.