Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity
Stefan Horatschek, David Petroff
TL;DR
This paper analytically investigates uniformly rotating relativistic rings using a combined approximation approach, comparing results from thin ring and post-Newtonian expansions with numerical solutions.
Contribution
It introduces a novel analytical method combining thin ring and post-Newtonian expansions to study rotating relativistic rings.
Findings
Analytical results align well with numerical solutions.
The combined approximation provides accurate descriptions of relativistic rings.
New insights into the structure of rotating relativistic rings are obtained.
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.
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