Helical motion of elastic spheres
General Relativity and Quantum Cosmology
2011-08-02 v1
Abstract
We study the elastic deformations that appear due to tidal and centrifugal forces acting on an elastic sphere in helical motion in a spherically symmetric gravitational field, where gravity is considered to be given by either a Newtonian or a Schwarzschild background. We review an existence/uniqueness theorem based on the implicit function theorem for the nonrelativistic case and give explicit solutions to the linearized elastostatic equations in both cases.
Keywords
Cite
@article{arxiv.1108.0325,
title = {Helical motion of elastic spheres},
author = {Stephan Broda},
journal= {arXiv preprint arXiv:1108.0325},
year = {2011}
}