On the r-mode spectrum of relativistic stars

Details On the r-mode spectrum of relativistic stars On the r-mode spectrum of relativistic stars

1999-03-05

arxiv.org/abs/gr-qc/9903019v1

Mon.Not.Roy.Astron.Soc. 308 (1999) 745-750

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures

Scientific paper

10.1046/j.1365-8711.1999.02739.x

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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