Radial and vertical epicyclic frequencies of Keplerian motion in the field of Kerr naked singularities

Free access article

Issue		A&A Volume 437, Number 3, July III 2005


Page(s)		775 - 788
Section		Astrophysical processes
DOI		http://dx.doi.org/10.1051/0004-6361:20052825

A&A 437, 775-788 (2005)
DOI: 10.1051/0004-6361:20052825

Comparison with the black hole case and possible instability of naked-singularity accretion discs

G. Török and Z. Stuchlík

Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezrucovo nám. 13, 746 01 Opava, Czech Republic
e-mail: stu10uf@fpf.slu.cz; terek@volny.cz

(Received 6 February 2005 / Accepted 8 March 2005)

Abstract
Relativistic Keplerian orbital frequency ( $\nu_{\mathrm{K}}$ ) and related epicyclic frequencies (radial $\nu_{\mathrm{r}}$ , vertical $\nu_{\theta}$ ) 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 $\omega_\mathrm{sr}\,$ = $\,\,a^{-2}\sqrt {a^2-1}\,(a^2+1 )^{-1}$ .

Key words: black holes physics -- X-rays: general

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