Anisotropic Stars: Exact Solutions and Stability

Krsna Dev; Marcelo Gleiser (PRESENTER)

Anisotropic Stars: Exact Solutions and Stability

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arxiv astro-ph/0401546 v1 pith:DKQYODAS submitted 2004-01-26 astro-ph

Krsna Dev , Marcelo Gleiser (PRESENTER) This is my paper

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I report on recent work concerning the existence and stability of self-gravitating spheres with anisotropic pressure. After presenting new exact solutions, Chandrasekhar's variational formalism for radial perturbations is generalized to anisotropic objects and applied to investigate their stability. It is shown that anisotropy can not only support stars of mass M and radius R with 2M/R > 8/9 and arbitrarily large surface redshifts, but that stable configurations exist for values of the adiabatic index smaller than the corresponding isotropic value.

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Anisotropic quantum polytropes
gr-qc 2025-06 reject novelty 5.0 of 10

In pressureless quantum polytropes, positive pressure anisotropy compresses the structure and stronger gravity weakens binding, opposite to classical polytrope behavior.

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