Non-radial pulsations of neutron stars with a crust

A fully relativistic treatment of non-radial pulsational modes of spherical stars with solid crusts is presented. This work complements an earlier relativistic treatment of torsional modes. The strain tensor for arbitrary even-parity elastic deformations of a spherical star is derived. A Hookean law is assumed to relate the stress to the strain, and the pulsational equations and their boundary conditions are derived from the Einstein Field (EFE) and the equations of motion. The EFE and equations of motion are then used to find the Lagrangian density and an action principle for the pulsational problem. (author)