Resonant gravitomagnetic excitation of Rossby modes in neutron star binaries

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Ho and Lai [MNRAS 308, 153 (1999)] showed that the f and p modes of neutron stars can be resonantly excited in inspiralling binary neutron stars during the last few minutes of inspiral. If one of the stars is rapidly spinning (a few hundred Hz), the change in the gravitational wave signal is measurable. Ho and Lai also evaluated the excitation of the Rossby modes in the Newtonian approximation and showed that it is very small. We show that the post-1-Newtonian, gravitomagnetic excitation of the Rossby modes dominates over the Newtonian excitation, and that the change in the gravitational wave signal due to the l=2, m=1 r-mode is at the threshold of detectability (the change in phase is of order unity) for a neutron star of radius 15km with spin frequency 100 Hz.

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