Nonlinear Development of the Secular Bar-mode Instability in Rotating Neutron Stars

Details Nonlinear Development of the Secular Bar-mode Instability in Rotating Neutron Stars Nonlinear Development of the Secular Bar-mode Instability in Rotating Neutron Stars

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004head....8.0701o&link_type=abstract

American Astronomical Society, HEAD meeting #8, #07.01; Bulletin of the American Astronomical Society, Vol. 36, p.916

Astronomy and Astrophysics

Astronomy

Scientific paper

We have modelled the nonlinear development of the secular bar-mode instability that is driven by gravitational radiation-reaction (GRR) forces in rotating neutron stars. In the absence of any competing viscous effects, an initially uniformly rotating, axisymmetric n=0.5 polytropic star with a ratio of rotational to gravitational potential energy T/|W|=0.181, which is secularly unstable but dynamically stable to the bar-mode instability, is driven by GRR forces to a bar-like structure, as predicted by linear theory. The pattern frequency of the bar slows to nearly zero, that is, the bar becomes almost stationary as viewed from an inertial frame of reference as GRR removes energy and angular momentum from the star. In this ``Dedekind-like'' state, rotational energy is stored as motion of the fluid in highly noncircular orbits inside the bar. However, this Dedekind-like bar configuration is dynamically unstable. In less than 10 dynamical times after its formation, the bar loses its initially coherent structure as the ordered flow inside the bar is disrupted by what appears to be a purely hydrodynamical, short-wavelength, ``shearing'' type instability. These results suggest that long-lived Dedekind-like objects are unlikely to be found in the universe. The gravitational waveforms generated by such an event are determined, and an estimate of the detectability of these waves is presented.

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