Equilibrium of Spheres with Local Anisotropy in Postnewtonian Gravity. Application to White Dwarfs

Details Equilibrium of Spheres with Local Anisotropy in Postnewtonian Gravity. Application to White Dwarfs Equilibrium of Spheres with Local Anisotropy in Postnewtonian Gravity. Application to White Dwarfs

1997-12-19

arxiv.org/abs/gr-qc/9712081v1

Class.Quant.Grav. 15 (1998) 3645-3654

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/15/11/022

Static solutions of white dwarfs with spherical symmetry and local anisotropy are studied in the post-Newtonian approximation. It is argued that the condition for equilibrium must be that the total energy is a minimum for given baryon number and the question whether there is local isotropy or anisotropy inside the star should follow from that condition, rather than be postulated "a priori". It is shown show that, in post-Newtonian gravity, there are stable configurations with local anisotropy for masses above the Chandrasekhar limit.

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