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Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity

Authors :
Horatschek, Stefan
Petroff, David
Source :
Mon. Not. R. Astron. Soc., vol. 408, p. 1749 (2010)
Publication Year :
2010

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.<br />Comment: 12 pages, 7 figures, v1: 2 tables added, agrees with published version

Details

Database :
arXiv
Journal :
Mon. Not. R. Astron. Soc., vol. 408, p. 1749 (2010)
Publication Type :
Report
Accession number :
edsarx.1005.0294
Document Type :
Working Paper
Full Text :
https://doi.org/10.1111/j.1365-2966.2010.17241.x