General Relativity and Gravitation

, Volume 38, Issue 1, pp 83–119

Covariant Newtonian and relativistic dynamics of (magneto)-elastic solid model for neutron star crust

Authors

    • LuTh, Observatoire de Paris
  • E. Chachoua
    • LuTh, Observatoire de Paris
  • N. Chamel
    • LuTh, Observatoire de Paris
    • Copernicus Astronomical Center (CAMK)
Research Article

DOI: 10.1007/s10714-005-0210-0

Cite this article as:
Carter, B., Chachoua, E. & Chamel, N. Gen Relativ Gravit (2006) 38: 83. doi:10.1007/s10714-005-0210-0

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 energy-momentum 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) magneto-elastic perturbation modes.

Keywords

Newtonian limitElastic solidNoether identity

Copyright information

© Springer-Verlag 2005