Non-radial pulsations of neutron stars with a crust

Details Non-radial pulsations of neutron stars with a crust Non-radial pulsations of neutron stars with a crust

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245...82f&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 245, July 1, 1990, p. 82-91.

Astronomy and Astrophysics

Astronomy

13

Crusts, Neutron Stars, Stellar Models, Stellar Oscillations, Einstein Equations, Elastic Deformation, Equations Of Motion, Stellar Structure

Scientific paper

A fully relativistic treatment of nonradial pulsational modes of spherical stars with solid crusts is presented. This work complements Schumaker and Thorne's (1983) 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 equations (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. This action principle may prove useful in future studies of the stability of nonradial pulsational modes for stars with a solid crust.

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