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The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids

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.

preprint2010arXivOpen access
Norman GürlebeckDavid Petroff
gr-qc
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Open access2 authors1 topic
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Norman GürlebeckDavid Petroff

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