Research Article

General Relativity and Gravitation

, Volume 38, Issue 1, pp 83-119

First online:

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

  • B. CarterAffiliated withLuTh, Observatoire de Paris Email author 
  • , E. ChachouaAffiliated withLuTh, Observatoire de Paris
  • , N. ChamelAffiliated withLuTh, Observatoire de ParisCopernicus Astronomical Center (CAMK)

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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 limit Elastic solid Noether identity