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

Details 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 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

2005-02-06

arxiv.org/abs/astro-ph/0502127v1

Astronomy and Astrophysics

Astrophysics

15 pages, 12 figures

Scientific paper

10.1051/0004-6361:20052825

Relativistic Keplerian orbital frequency and related epicyclic frequencies play an important role in physics of accretion discs orbiting Kerr black holes and can by resonant or trapping effects explain quasiperiodic oscillations observed in microquasars. Because of growing theoretical evidence on possible existence of naked singularities, we discuss 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 being equal at well defined radius.

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