Nonlinear r-MODES in Rotating Relativistic Stars

Physics

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Considerable effort has been spent in the last two years, in determining the properties of r-modes [1] in rotating compact stars, since the discovery [2, 3] that these modes are unstable to the emission of gravitational radiation. This is motivated by the current understanding that the r-mode instability may have several important astrophysical consequences: it provides an explanation for the spin-down of rapidly rotating proto-neutron stars to Crab-like spin-periods and for the spin-distribution of millisecond pulsars and accreting neutron stars, while being a strong source of detectable continuous gravitational radiation (see [4,5,6] for reviews). In addition, if r-modes induce differential rotation, then the interaction between them and the magnetic field in neutron stars has been used to explain one type of gamma-ray bursts [7] and as a mechanism for enhancing the star's toroidal magnetic field, which could, in turn, limit the r-mode amplitude [8]. Still, several important uncertainties remain, the resolution of which could significantly modify the above conclusions. Specifically, the maximum amplitude of unstable r-modes in a fluid star (neglecting the magnetic field) and the precise mechanism by which it is set, are currently unknown, but saturation of the amplitude is thought to occur due to some form of nonlinear hydrodynamical coupling...

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