NDLI: Anisotropic Stars II: Stability

Content Provider	Springer Nature Link
Author	Dev, Krsna Gleiser, Marcelo
Copyright Year	2003
Abstract	We investigate the stability of self-gravitating spherically symmetric anisotropic spheres under radial perturbations. We consider both the Newtonian and the full general-relativistic perturbation treatment. In the general-relativistic case, we extend the variational formalism for spheres with isotropic pressure developed by Chandrasekhar. We find that, in general, when the tangential pressure is greater than the radial pressure, the stability of the anisotropic sphere is enhanced when compared to isotropic configurations. In particular, anisotropic spheres are found to be stable for smaller values of the adiabatic index γ.
Starting Page	1435
Ending Page	1457
Page Count	23
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	35
Issue Number	8
e-ISSN	15729532
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2003-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Differential Geometry Mathematical and Computational Physics Relativity and Cosmology
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Anisotropic Stars II: Stability