On the r-mode spectrum of relativistic stars

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 conc...

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Veröffentlicht in:Monthly notices of the Royal Astronomical Society 1999-09, Vol.308 (3), p.745-750
Hauptverfasser: Beyer, Horst R., Kokkotas, Kostas D.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0035-8711
1365-2966
DOI:10.1046/j.1365-8711.1999.02739.x