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arXiv:1910.12881gr-qc

The Null Geodesics of the Kerr Exterior

Samuel E. Gralla, Alexandru Lupsasca

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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.

arXiv comments
24 pages, 4 figures. v2: minor edits, matches published version. v3: corrected errors found after publication
Journal reference
Phys. Rev. D 101, 044032 (2020)
DOI
doi:10.1103/PhysRevD.101.044032
Subjects
gr-qcGeneral Relativity and Quantum Cosmology astro-ph.HEHigh Energy Astrophysical Phenomena hep-thHigh Energy Physics, Theory

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