English

On the r-mode spectrum of relativistic stars

General Relativity and Quantum Cosmology 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/9903019,
  title  = {On the r-mode spectrum of relativistic stars},
  author = {H. R. Beyer and K. D. Kokkotas},
  journal= {arXiv preprint arXiv:gr-qc/9903019},
  year   = {2009}
}

Comments

6 pages, no figures