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Diskoseismology: Probing accretion disks. I - Trapped adiabatic oscillationsThe normal modes of acoustic oscillations within thin accretion disks which are terminated by an innermost stable orbit around a slowly rotating black hole or weakly magnetized compact neutron star are analyzed. The dominant relativistic effects which allow modes to be trapped within the inner region of the disk are approximated via a modified Newtonian potential. A general formalism is developed for investigating the adiabatic oscillations of arbitrary unperturbed disk models. The generic behavior is explored by way of an expansion of the Lagrangian displacement about the plane of symmetry and by assuming separable solutions with the same radial wavelength for the horizontal and vertical perturbations. The lowest eigenfrequencies and eigenfunctions of a particular set of radial and quadrupole modes which have minimum motion normal for the plane are obtained. These modes correspond to the standard dispersion relation of disk theory.
Document ID
19910067029
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Nowak, Michael A.
(Stanford Univ. CA, United States)
Wagoner, Robert V.
(Stanford University CA, United States)
Date Acquired
August 14, 2013
Publication Date
September 10, 1991
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 378
ISSN: 0004-637X
Subject Category
Astrophysics
Funding Number(s)
CONTRACT_GRANT: NAGW-299
CONTRACT_GRANT: NSF PHY-86-03273
Distribution Limits
Public
Copyright
Other
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