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

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

2005-07-03

arxiv.org/abs/gr-qc/0507006v1

Gen.Rel.Grav. 38 (2006) 83-119

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

39 pages Latex

Scientific paper

10.1007/s10714-005-0210-0

This work develops the dynamics of 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.

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