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Anisotropic Stars II: Stability

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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.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Oberlin College, Oberlin, Ohio, 44074

    Krsna Dev & Marcelo Gleiser

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  1. Krsna Dev
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  2. Marcelo Gleiser
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Dev, K., Gleiser, M. Anisotropic Stars II: Stability. General Relativity and Gravitation 35, 1435–1457 (2003). https://doi.org/10.1023/A:1024534702166

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  • DOI: https://doi.org/10.1023/A:1024534702166

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