Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-07-12
Astronomy and Astrophysics
Astrophysics
18 pages, 7 figures, MNRAS, accepted
Scientific paper
10.1111/j.1365-2966.2007.12414.x
We present several exact solutions of the eigenfrequency problem for torsional shear vibrations in homogeneous and non-homogeneous models of the neutron star crust governed by canonical equation of solid mechanics with a restoring force of Hookean elasticity. Particular attention is given to regime of large lengthscale nodeless axisymmetric differentially rotational oscillations which are treated in spherical polar coordinates reflecting real geometry of the neutron star crust. Highlighted is the distinction between analytic forms and numerical estimates of the frequency, computed as a function of multipole degree of nodeless torsional oscillations and fractional depth of the crust, caused by different boundary conditions imposed on the toroidal field of material displacements. The relevance of considered models to quasiperiodic oscillations, recently detected during the flare of SGR 1806-20 and SGR 1900+14, is discussed.
Bastrukov S. I.
Chang Hsiang Kuang
Chen Gwan-Ting
Molodtsova I. V.
Takata Jumpei
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