On the stability of axisymmetric systems to axisymmetric perturbations in general relativity. II. A criterion for the onset of instability in uniformly rotating configurations and the frequency of the fundamental mode in case of slow rotation

Chandrasekhar, S. ; Friedman, John L. (1972) On the stability of axisymmetric systems to axisymmetric perturbations in general relativity. II. A criterion for the onset of instability in uniformly rotating configurations and the frequency of the fundamental mode in case of slow rotation Astrophysical Journal, 176 . pp. 745-768. ISSN 0004-637X

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Official URL: http://adsabs.harvard.edu/abs/1972ApJ...176..745C

Related URL: http://dx.doi.org/10.1086/151676

Abstract

The theory developed in Paper I is applied to solve two problems in general relativity: to obtain a criterion for the onset of instability in a uniformly rotating configuration via a neutral mode of axisym¬metric oscillation; and to obtain an exact and an explicit formula for the square of the frequency of the fundamental axisymmetric mode of oscillation of a configuration rotating uniformly but slowly.

Item Type:	Article
Source:	Copyright of this article belongs to American Astronomical Society.
ID Code:	70810
Deposited On:	22 Nov 2011 04:37
Last Modified:	18 May 2016 16:45

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