Anisotropic Stars: Exact Solutions and Stability

Abstract

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.

6 pages, 1 figure, latex. Invited contribution to International Workshop on Astronomy and Relativistic Astrophysics, Olinda, Brazil, October 12-16, 2003

References in corpus (1)

• Anisotropic Stars II : Stability

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