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Equatorial circular motion in Kerr spacetime

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arxiv 1105.2959 v2 pith:VL6LJWOI submitted 2011-05-15 gr-qc astro-ph.HE

classification gr-qcastro-ph.HE
keywords circularnakedorbitssingularitiestestanalyzeangularblack
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We analyze the properties of circular orbits of test particles on the equatorial plane of a rotating central mass whose gravitational field is described by the Kerr spacetime. For rotating black holes and naked singularities we explore all the spatial regions where circular orbits can exist and analyze the behavior of the energy and the angular momentum of the corresponding test particles. In particular, we find all the radii at which a test particle can have zero angular momentum due to the repulsive gravity effects generated by naked singularities. We classify all the stability zones of circular orbits. It is shown that the geometric structure of the stability zones of black holes is completely different from that of naked singularities.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Radii of spherical timelike geodesics in Kerr-Newman black holes

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Closed-form and numerical radii, existence conditions, and radial stability are given for spherical timelike orbits in Kerr-Newman spacetimes, including an analytical ISCO radius formula.

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