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

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


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.


Newtonian limitElastic solidNoether identity

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.LuTh, Observatoire de ParisMeudonFrance
  2. 2.Copernicus Astronomical Center (CAMK)WarsawPoland