Anisotropic Stars II : Stability

Details Anisotropic Stars II : Stability Anisotropic Stars II : Stability

2003-03-20

arxiv.org/abs/gr-qc/0303077v1

Gen.Rel.Grav. 35 (2003) 1435-1457

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages 3 figures

Scientific paper

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 $\gamma$.

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