Anisotropic Stars: Exact Solutions and Stability

Details Anisotropic Stars: Exact Solutions and Stability Anisotropic Stars: Exact Solutions and Stability

2004-01-26

arxiv.org/abs/astro-ph/0401546v1

Int.J.Mod.Phys. D13 (2004) 1389-1398

Astronomy and Astrophysics

Astrophysics

6 pages, 1 figure, latex. Invited contribution to International Workshop on Astronomy and Relativistic Astrophysics, Olinda, B

Scientific paper

10.1142/S0218271804005584

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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