Open AccessOn the r‐mode spectrum of relativistic stars
Author(s) -
Beyer Horst R.,
Kokkotas Kostas D.
Publication year - 1999
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.1999.02739.x
Subject(s) - physics , spectrum (functional analysis) , stars , continuous spectrum , mode (computer interface) , astrophysics , operator (biology) , astronomy , theoretical physics , quantum mechanics , biochemistry , chemistry , repressor , computer science , transcription factor , gene , operating system
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.