  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.

General Relativity and Quantum Cosmology