Gravitational Waves from the r-mode instability of neutron stars: effect of magnetic field

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Studies have shown that emission of gravitational wave drives an instability in the r-modes of young rapidly rotating neutron stars carrying away most of the angular momentum through gravitational wave emission in the first year or so after their formation. Magnetic field plays a crucial role in the evolution of these r-modes and hence the evolution of the neutron star itself. An attempt is made here to investigate the role of magnetic field in the evolution of r-mode instability and detectibility of gravitational waves emitted by a newly born, hot and rapidly and differentially rotating neutron star. It is found that magnetic field tend to suppress the r-mode amplitude. The signal-to-noise ratio analysis shows that gravitational waves emitted from the r-mode instability from neutron stars with magnetic fields upto the order of 10¹⁴ gauss may be detectable by the Advanced LIGO at 20 Mpc.