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    Tidal dynamics in Kerr spacetime

    Chicone, Carmen Charles
    Mashhoon, Bahram
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    [PDF] TidalDynamicsKerrSpacetime.pdf (207.0Kb)
    Date
    2006
    Format
    Article
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    Abstract
    The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an autonomous form. Tidal dynamics beyond the critical speed c/√2 is studied. We show, in particular, that a free test particle vertically launched from the circular orbit parallel or antiparallel to the Kerr rotation axis is tidally accelerated if its initial relative speed exceeds c/√2. Possible applications of our results to high-energy astrophysics are briefly mentioned.
    URI
    http://hdl.handle.net/10355/8354
    Part of
    Mathematics publications (MU)
    Citation
    C Chicone and B Mashhoon 2006 Class. Quantum Grav. 23 4021
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • Mathematics publications (MU)
    • Physics and Astronomy publications (MU)

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