The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids
General Relativity and Quantum Cosmology
2010-10-14 v2
Abstract
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.
Cite
@article{arxiv.1006.3166,
title = {The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids},
author = {Norman Gürlebeck and David Petroff},
journal= {arXiv preprint arXiv:1006.3166},
year = {2010}
}
Comments
12 pages, v1: more discussion of comparison to Chandrasekhar's and Elbert's work, modified to agree with published version