Neutron Star Asteroseismology. Axial Crust Oscillations in the Cowling Approximation
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.
Keywords
Cite
@article{arxiv.astro-ph/0609265,
title = {Neutron Star Asteroseismology. Axial Crust Oscillations in the Cowling Approximation},
author = {Lars Samuelsson and Nils Andersson},
journal= {arXiv preprint arXiv:astro-ph/0609265},
year = {2008}
}
Comments
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