Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity
General Relativity and Quantum Cosmology
2015-05-18 v2
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.
Keywords
Cite
@article{arxiv.1005.0294,
title = {Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity},
author = {Stefan Horatschek and David Petroff},
journal= {arXiv preprint arXiv:1005.0294},
year = {2015}
}
Comments
12 pages, 7 figures, v1: 2 tables added, agrees with published version