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    Radial and vertical epicyclic frequencies of Keplerian motion in the field of Kerr naked singularities. Comparison with the black hole case and possible instability of naked-singularity accretion discs

    Zdeněk Stuchlík · Červenec 01, 2005 · Fyzika · 0 comments
    0

    Publication date: Jul 2005

    Abstract:
    Relativistic Keplerian orbital frequency (νK) and related
    epicyclic frequencies (radial νr, vertical νθ)
    play an important role in the physics of accretion discs orbiting Kerr
    black holes – quasiperiodic oscillations observed in microquasars can be
    explained by associated resonant or trapping effects. Because of growing
    theoretical evidence of the possible existence of naked singularities,
    we discuss the behaviour of the fundamenal orbital frequencies for
    Keplerian motion in the field of Kerr naked singularities, primarily in
    order to find phenomena that could observationally distinguish a
    hypothetical naked singularity from black holes. Some astrophysically
    important consequences are sketched, namely the existence of strong
    resonant frequency for all Kerr naked singularities, with radial and
    vertical epicyclic frequencies equal and given by the relation ω_sr =
    a-2√{a^2-1} (a^2+1 )-1.

    Authors:
    Török, G.; Stuchlík, Z.;

    https://ui.adsabs.harvard.edu/abs/2005A&A…437..775T

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