Nonlinear evolution of the r-modes in neutron stars.
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... enable us to simulate non-linear evolutions of various physical systems such as core collapse [33, 34], non-linearoscillations of differentially rotating stars [104], non-linear saturation ofr-modes [15, 71, 72, 105], non-linear radial pulsations [102], etc. In perturbation theory, the second perturbative order has been developed for studying Schwarzschild black holes [46, 41]. In particular, the authors treated ...
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...s can be better addressed in numerical relativity by evolving the full set of non-linear Einstein equations [35, 105, 103]. Furthermore, recent works on the core collapse [33, 34], r-mode instability [94, 68, 71], accretion from a companion [40], or supernova fall back material [113], show that a neutron star manifests a degree of differential rotation. These studies have clarified the effects of rotation on t...
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