Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...247..671s&link_type=abstract
Astrophysical Journal, Part 1, vol. 247, July 15, 1981, p. 671-676
Astronomy and Astrophysics
Astrophysics
1
Astrophysics, Dynamic Stability, Perturbation Theory, Relativity, Star Clusters, Distribution Functions, Einstein Equations, Spherical Harmonics, Star Distribution, Variational Principles
Scientific paper
A theory of odd-parity nonspherical perturbations of collisionless, isotropic, spherically symmetric star clusters is developed within general relativity for a spherical-harmonic index of not less than 2. A variational principle is derived for the associated normal modes of oscillation, and reveals that an unstable normal mode has a pure exponentially growing time dependence, and hence a normal mode can become unstable in a smooth fashion only through zero frequency. No instabilities can set in through zero-frequency modes along smooth sequences of models with fewer high-energy stars than low-energy stars, and unless unstable normal modes suddenly appear in a nonsmooth fashion, the implication is that these models possess no unstable modes.
Ipser James R.
Semenzato R.
No associations
LandOfFree
Odd-parity perturbations of spherically symmetric star clusters in general relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Odd-parity perturbations of spherically symmetric star clusters in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Odd-parity perturbations of spherically symmetric star clusters in general relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1687897