On the r-mode spectrum of relativistic stars

Authors
Beyer, HR Kokkotas, KD
Citation
Hr. Beyer et Kd. Kokkotas, On the r-mode spectrum of relativistic stars, M NOT R AST, 308(3), 1999, pp. 745-750
Citations number
35
Categorie Soggetti
Space Sciences
Journal title
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN journal
00358711 → ACNP
Volume
308
Issue
3
Year of publication
1999
Pages
745 - 750
Database
ISI
SICI code
0035-8711(19990921)308:3<745:OTRSOR>2.0.ZU;2-Z
Abstract
We present a mathematically rigorous proof that the r-mode spectrum of rela tivistic stars to the rotational lowest order has a continuous part. A rigo rous definition of this spectrum is given in terms of the spectrum of a con tinuous linear operator. This study verifies earlier results by Kojima conc erning the nature of the r-mode spectrum.