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Epicyclic oscillations of fluid bodies: II. Strong gravity

Marek A Abramowicz1,2,3,4,5, Omer M Blaes6,3, Jíři Horák7,3, Włodek Kluźniak8,2,3 and Paola Rebusco9,3

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Fluids in external gravity may oscillate with frequencies characteristic of the epicyclic motions of test particles. We explicitly demonstrate that global oscillations of a slender, perfect fluid torus around a Kerr black hole admit incompressible vertical and radial epicyclic modes. Our results may be directly relevant to one of the most puzzling astrophysical phenomena—high (hundreds of hertz) frequency quasiperiodic oscillations (QPOs) detected in x-ray fluxes from several black hole sources. Such QPOs are pairs of stable frequencies in the 3/2 ratio. It seems that they originate a few gravitational radii away from the black hole and thus their observations have the potential to become an accurate probe of super-strong gravity.


PACS

98.35.Jk Galactic center, bar, circumnuclear matter, and bulge (including black hole and distance measurements)

95.30.Sf Relativity and gravitation

98.70.Qy X-ray sources; X-ray bursts

MSC

85A15 Galactic and stellar structure

83C57 Black holes

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 5 (7 March 2006)

Received 29 July 2005, in final form 16 January 2006

Published 15 February 2006



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