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arxiv: 1005.0294 · v2 · pith:NS2XTZFEnew · submitted 2010-05-03 · 🌀 gr-qc

Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity

classification 🌀 gr-qc
keywords ringscomparedpost-newtonianringrotatinguniformlyanalyticanalytically
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In this paper uniformly rotating relativistic rings are investigated analytically utilizing two different approximations simultaneously: (1) an expansion about the thin ring limit (the cross-section is small compared with the size of the whole ring) (2) post-Newtonian expansions. The analytic results for rings are compared with numerical solutions.

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