Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity
arXiv:1005.0294 · doi:10.1111/j.1365-2966.2010.17241.x
Abstract
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.
12 pages, 7 figures, v1: 2 tables added, agrees with published version