Instabilities of Relativistic Stars
K.D.Kokkotas, J.Ruoff

TL;DR
This paper reviews recent advances in understanding the rotational instabilities of relativistic stars, focusing on theoretical developments in general relativity including r-modes, continuous spectra, and CFS instability of w-modes.
Contribution
It provides a comprehensive review of the theory of stellar instabilities in the relativistic regime, highlighting new insights into relativistic r-modes and related phenomena.
Findings
Existence of relativistic r-modes confirmed
Continuous spectrum in relativistic stars analyzed
CFS instability of w-modes discussed
Abstract
Recent developments on the rotational instabilities of relativistic stars are reviewed. The article provides an account of the theory of stellar instabilities with emphasis on the rotational ones. Special attention is being paid to the study of these instabilities in the general relativistic regime. Issues such as the existence relativistic r-modes, the existence of a continuous spectrum and the CFS instability of the w-modes are discussed in the second half of the article.
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