A new approach to the study of quasi-normal modes of rotating stars

Abstract

We propose a new method to study the quasi-normal modes of rotating relativistic stars. Oscillations are treated as perturbations in the frequency domain of the stationary, axisymmetric background describing a rotating star. The perturbed quantities are expanded in circular harmonics, and the resulting 2D-equations they satisfy are integrated using spectral methods in the (r,theta)-plane. The asymptotic conditions at infinity, needed to find the mode frequencies, are implemented by generalizing the standing wave boundary condition commonly used in the non rotating case. As a test, the method is applied to find the quasi-normal mode frequencies of a slowly rotating star.

24 pages, 7 figures, submitted to Phys. Rev. D

References in corpus (3)

• Nonradial oscillations of slowly and differentially rotating compact stars
• Quark matter imprint on Gravitational Waves from oscillating stars
• A characteristic approach to the quasi-normal mode problem

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