paper

Neutron Star Asteroseismology. Axial Crust Oscillations in the Cowling Approximation

arXiv:astro-ph/0609265 · doi:10.1111/j.1365-2966.2006.11147.x

Abstract

Recent observations of quasi-periodic oscillations in the aftermath of giant flares in soft gamma-ray repeaters suggest a close coupling between the seismic motion of the crust after a major quake and the modes of oscillations in a magnetar. In this paper we consider the purely elastic modes of oscillation in the crust of a neutron star in the relativistic Cowling approximation (disregarding any magnetic field). We determine the axial crust modes for a large set of stellar models, using a state-of-the-art crust equation of state and a wide range of core masses and radii. We also devise useful approximate formulae for the mode-frequencies. We show that the relative crust thickness is well described by a function of the compactness of the star and a parameter describing the compressibility of the crust only. Considering the observational data for SGR 1900+14 and SGR 1806-20, we demonstrate how our results can be used to constrain the mass and radius of an oscillating neutron star.

14 pages, 1 table, 4 figures. v2: Typos corrected, references added and a bug in the code was fixed which slightly modifies the figures but leaves the conclusions unchanged

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