Covariant Newtonian and relativistic dynamics of (magneto)elastic solid model for neutron star crust
Abstract
This work develops the dynamics of a perfectly elastic solid model for application to the outer crust of a magnetised neutron star. Particular attention is given to the Noether identities responsible for energymomentum conservation, using a formulation that is fully covariant, not only (as is usual) in a fully relativistic treatment but also (sacrificing accuracy and elegance for economy of degrees of gravitational freedom) in the technically more complicated case of the Newtonian limit. The results are used to obtain explicit (relativistic and Newtonian) formulae for the propagation speeds of generalised (Alfven type) magnetoelastic perturbation modes.
 Publication:

General Relativity and Gravitation
 Pub Date:
 January 2006
 DOI:
 10.1007/s1071400502100
 arXiv:
 arXiv:grqc/0507006
 Bibcode:
 2006GReGr..38...83C
 Keywords:

 Newtonian limit;
 Elastic solid;
 Noether identity;
 General Relativity and Quantum Cosmology;
 Astrophysics
 EPrint:
 39 pages Latex