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On the r-mode spectrum of relativistic stars |
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| Authors: | Horst R Beyer Kostas D Kokkotas |
| Institution: | Universität Stuttgart, Institut A für Mechanik, Pfaffenwaldring 9, D-70550 Stuttgart, Germany; Department of Physics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece; Max Planck Institute for Gravitational Physics, The Albert Einstein Institute, D-14473 Potsdam, Germany |
| Abstract: | We present a mathematically rigorous proof that the r-mode spectrum of relativistic stars to the rotational lowest order has a continuous part. A rigorous definition of this spectrum is given in terms of the spectrum of a continuous linear operator. This study verifies earlier results by Kojima concerning the nature of the r-mode spectrum. |
| Keywords: | stars: neutron stars: oscillations stars: rotation |