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On the r-mode spectrum of relativistic stars

H. R. Beyer, K. D. Kokkotas

gr-qcarXiv:gr-qc/9903019

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 (1998) about the nature of the r-mode spectrum.

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