April 2010
Christian Krüger, Erich Gaertig, Kostas Kokkotas
During the past few years, oscillations and instabilities of rapidly rotating stars have been studied both in a perturbative way by additionally fixing the spacetime and by solving the full set of the Einstein equations. A primary reason for these studies is the fact, that rapidly rotating stars can be destabilized due to the so-called CFS-instability; a secular instability that operates via a dissipative effect, the emission of gravitational waves. Most of these studies have been performed with configurations of rigidly rotating neutron stars. However, in order for the CFS-instability to be effective one typically needs very high rotation rates which are most likely to be found in young, newly born neutron stars. In this phase, they not only rotate fast but also differentially, i.e. the angular velocity is not constant throughout the star. In this study, we investigate the effect of various degrees of differential rotation on the frequencies of non-axisymmetric perturbations and its influence on the onset of the CFS-instability.