Celestial mechanics of elastic bodies II
Robert Beig, Bernd G. Schmidt
TL;DR
This paper develops relativistic models of elastic bodies in circular orbits within Schwarzschild spacetime, extending Newtonian solutions and improving previous results on elastic bodies in rotation.
Contribution
It constructs time-independent relativistic configurations of elastic bodies in orbit, advancing the understanding of elastic bodies in curved spacetime.
Findings
Constructed relativistic elastic body configurations in Schwarzschild spacetime
Simplified and refined previous results on elastic bodies in rigid rotation
Extended Newtonian solutions to relativistic context
Abstract
We construct time independent configurations describing a small elastic body moving in a circular orbit in the Schwarzschild spacetime. These configurations are relativistic versions of Newtonian solutions constructed previously by us. In the process we simplify and sharpen previous results of ours concerning elastic bodies in rigid rotation.
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