The w-mode instability of ultracompact relativistic stars

Details The w-mode instability of ultracompact relativistic stars The w-mode instability of ultracompact relativistic stars

2002-12-19

arxiv.org/abs/astro-ph/0212429v2

Phys.Rev. D70 (2004) 043003

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevD.70.043003

In this article we show that the, mainly spacetime, w-modes may become unstable in a rotating ultracompact ($R<3M$) relativistic star. We provide results for the axial modes of a rotating star in the slow rotation approximation, and demonstrate that an instability may become active in stars with an ergosphere. These results suggest that the so-called ``ergoregion instability'' discussed by other authors is, in fact, associated with the w-modes of the star. The unstable modes are found to grow on a timescale of seconds to minutes. We discuss briefly whether the instability is likely to have any astrophysical relevance.

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