Detailed Information on Publication Record

TÖRÖK, Gabriel and Zdeněk STUCHLÍK. 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. ASTRONOMY & ASTROPHYSICS. LES ULIS CEDEX A: EDP SCIENCES S A, 2005, vol. 437, No 3, p. 775-788. ISSN 0004-6361. Available from: https://dx.doi.org/10.1051/0004-6361:20052825.

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Basic information
Original name	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
Authors	TÖRÖK, Gabriel and Zdeněk STUCHLÍK.
Edition	ASTRONOMY & ASTROPHYSICS, LES ULIS CEDEX A, EDP SCIENCES S A, 2005, 0004-6361.

Other information
Original language	English
Type of outcome	Article in a journal
Confidentiality degree	is not subject to a state or trade secret
Organization unit	Faculty of Philosophy and Science in Opava
Doi	http://dx.doi.org/10.1051/0004-6361:20052825
UT WoS	000230210100006
Keywords in English	black holes physics; X-rays : general
Tags	clanek, MSM4781305903, Torokcentrum
Tags	International impact, Reviewed
Changed by	Changed by: RNDr. Kateřina Klimovičová, Ph.D., učo 10653. Changed: 12/4/2021 14:13.

Abstract
Relativistic Keplerian orbital frequency (v(K)) and related epicyclic frequencies (radial v(r), vertical v(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(sr) = a(-2) root a(2)-1 (a(2) + 1)-(1).

Abstract

Relativistic Keplerian orbital frequency (v(K)) and related epicyclic frequencies (radial v(r), vertical v(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(sr) = a(-2) root a(2)-1 (a(2) + 1)-(1).