The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids

Details The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids

2010-06-16

arxiv.org/abs/1006.3166v2

Astrophys.J.722:1207-1215,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, v1: more discussion of comparison to Chandrasekhar's and Elbert's work, modified to agree with published version

Scientific paper

10.1088/0004-637X/722/2/1207

We consider the post-Newtonian approximation for the Dedekind ellipsoids in the case of axisymmetry. The approach taken by Chandrasekhar & Elbert (1974, 1978) excludes the possibility of finding a uniformly rotating (deformed) spheroid in the axially symmetric limit, though the solution exists at the point of axisymmetry. We consider an extension to their work that permits the possibility of such a limit.

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