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• W3123128528 abstract "A special class of orbits known to exist around a Kerr black hole are spherical orbits -- orbits with constant coordinate radii that are not necessarily confined to the equatorial plane. Spherical time-like orbits were first studied by Wilkins almost 50 years ago. In the present paper, we perform a systematic and thorough study of these orbits, encompassing and extending previous works on them. We first present simplified forms for the parameters of these orbits. The parameter space of these orbits is then analysed in detail; in particular, we delineate the boundaries between stable and unstable orbits, bound and unbound orbits, and prograde and retrograde orbits. Finally, we provide analytic solutions of the geodesic equations, and illustrate a few representative examples of these orbits." @default.
• W3123128528 created "2021-02-01" @default.
• W3123128528 creator A5019586395 @default.
• W3123128528 date "2021-01-01" @default.
• W3123128528 modified "2023-09-29" @default.
• W3123128528 title "Spherical orbits around a Kerr black hole" @default.
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• W3123128528 doi "https://doi.org/10.1007/s10714-020-02782-z" @default.
• W3123128528 hasPublicationYear "2021" @default.
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