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arXiv · gr-qc/0610099

Determination of the internal structure of neutron stars from gravitational wave spectra

L. K. Tsui·P. T. Leung·J. Wu
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Abstract

In this paper the internal structure of a neutron star is shown to be inferrable from its gravitational-wave spectrum. Iteratively applying the inverse scheme of the scaled coordinate logarithmic perturbation method for neutron stars proposed by Tsui and Leung [Astrophys. J. {\bf 631}, 495 (2005)], we are able to determine the mass, the radius and the mass distribution of a star from its quasi-normal mode frequencies of stellar pulsation. In addition, accurate equation of state of nuclear matter can be obtained from such inversion scheme. Explicit formulas for the case of axial $w$-mode oscillation are derived here and numerical results for neutron stars characterized by different equations of state are shown.

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L. K. Tsui, P. T. Leung, J. Wu. 2006-10-20. Determination of the internal structure of neutron stars from gravitational wave spectra. https://doi.org/10.1103/physrevd.74.124025

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