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

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.

26 pages, 14 figures, submitted to Physical Review D

Cited by in corpus (5)

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• Gravitational wave asteroseismology with fast rotating neutron stars
• High-frequency behavior of w-mode pulsations of compact stars
• Probing dense matter in neutron stars with axial w-modes
• Generalised Inverse-Cowling Approximation for Polar $w$-mode Oscillations of Neutron Stars