Near-horizon geodesics of high-spin black holes

Abstract

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The classification of radial motion leads to a simple parametrization of the separatrix between bound and unbound motion. Furthermore, we prove that each timelike or null geodesic is related via conformal transformations and discrete symmetries to spherical orbits and we provide the explicit mappings. We detail the high-spin behavior of both the innermost stable and the innermost bound spherical orbits.

arXiv commentAccepted for publication in PRD, 4 ancillary files, 62 pages, 31 figures

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Cited by in corpus (13)

• Spherical orbits around a Kerr black hole
• Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes
• Kerr Geodesics in Terms of Weierstrass Elliptic Functions
• Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field
• Photon Emission from Circular Equatorial Kerr Orbiters
• Polarization Whorls from M87* at the Event Horizon Telescope
• Photon emissions from near-horizon extremal and near-extremal Kerr equatorial emitters
• Photon Boomerang in a Nearly Extreme Kerr Metric
• High spin expansion for null geodesics
• Scalar Self-force for High Spin Black Holes
• Spherical particle orbits around a rotating black hole in massive gravity
• Near-Horizon Collisions around Near-Extremal Black Holes
• Classification of radial Kerr geodesic motion