Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity

Details Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity

2010-05-03

arxiv.org/abs/1005.0294v2

Mon. Not. R. Astron. Soc., vol. 408, p. 1749 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 7 figures, v1: 2 tables added, agrees with published version

Scientific paper

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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