Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic Stars II : Stability   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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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess
2
The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int