Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-09-18
Phys.Rev.D76:104033,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 7 figures, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.76.104033
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.
Ferrari Valeria
Gualtieri Leonardo
Marassi Stefania
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