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Relativistic Diskoseismology. II. Analytical Results for c‐modes
Author(s) -
A. S. Silbergleit,
Robert V. Wagoner,
Manuel Ortega-Rodríguez
Publication year - 2001
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/318659
Subject(s) - physics , angular momentum , radius , rotating black hole , black hole (networking) , neutron star , oscillation (cell signaling) , trapping , accretion (finance) , astrophysics , gravitational field , rotation (mathematics) , field (mathematics) , classical mechanics , quantum electrodynamics , geometry , computer network , routing protocol , routing (electronic design automation) , computer security , mathematics , biology , computer science , genetics , link state routing protocol , ecology , pure mathematics
We first briefly review how we investigate the modes of oscillation trappedwithin the inner region of accretion disks by the strong-field gravitationalproperties of a black hole (or a compact, weakly-magnetized neutron star). Thenwe focus on the `corrugation'(c)-modes, nearly incompressible perturbations ofthe inner disk. The fundamental c-modes have eigenfrequencies (ordered byradial mode number) which correspond to the Lense-Thirring frequency, evaluatedat the outer trapping radius of the mode, in the slow rotation limit. Thistrapping radius is a decreasing function of the black hole angular momentum, soa significant portion of the disk is modulated only for slowly rotating blackholes. The eigenfrequencies are thus strongly increasing functions of blackhole angular momentum. The dependence of the eigenfrequencies on the speed ofsound within (or the luminosity) within the disk is very weak, except forslowly rotating black holes.Comment: Submitted to The Astrophysical Journal. 33 pages, 5 figure

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