Long-term evolution and gravitational wave radiation of neutron stars with differential rotation induced by r-modes

Abstract

In a second-order r-mode theory, S'a & Tom'e found that the r-mode oscillation in neutron stars (NSs) could induce stellar differential rotation, which leads to a saturation state of the oscillation spontaneously. Based on a consideration of the coupling of the r-modes and the stellar spin and thermal evolutions, we carefully investigate the influences of the r-mode-induced differential rotation on the long-term evolutions of isolated NSs and NSs in low-mass X-ray binaries, where the viscous damping of the r-modes and its resultant effects are taken into account. The numerical results show that, for both kinds of NSs, the differential rotation can prolong the duration of the r-mode saturation state significantly. As a result, the stars can keep nearly constant temperature and angular velocity over a thousand years. Moreover, due to the long-term steady rotation of the stars, persistent quasi-monochromatic gravitational wave radiation could be expected, which increases the detectibility of gravitational waves from both nascent and accreting old NSs.

14 pages, 6 figures, submitted to RAA

References in corpus (3)

• Hyperaccretion Disks around Neutron Stars
• The influence of differential rotation on the detectability of gravitational waves from the r-mode instability
• Effect of r-mode instability on the evolution of isolated strange stars

Cited by in corpus (5)

• The role of newly born magnetars in gamma-ray burst X-ray afterglow emission: Energy injection and internal emission
• Stochastic Gravitational Wave Background from Neutron Star r-mode Instability Revisited
• GRB 111209A/SN 2011kl: Collapse of a supramassive magnetar with r-mode oscillation and fall-back accretion onto a newborn black hole
• Could strange stars be in the color-flavor-locked phase: Tested by their thermal evolutions
• Evolution of Crab Pulsar: Magnetic Inclination Angle and Spin