Description
(Text)
The relativistic theory of elasticity is developed and its formulations as given by Carter and Quintana [4] and by Beig and Schmidt [3] are compared. Then, the nonrelativistic limit is performed, and the resulting non-relativistic elasticity theory is investigated. Linear perturbations are also considered in this case, especially the so-called trivial displacements, that are special perturbations whichs satisfy the equations of motion trivially. Finally, the eigenmodes of a self-gravitating sphere are calculated in the non-relativistic case as an example.
