Strange pulsation modes in luminous red giants

Abstract

We show that the spectrum of radial pulsation modes in luminous red giants consists of both normal modes and a second set of modes with periods similar to those of the normal modes. These additional modes are the red giant analogues of the strange modes found in classical Cepheids and RR Lyrae variables. Here, we describe the behaviour of strange and normal modes in luminous red giants and discuss the dependence of both the strange and normal modes on the outer boundary conditions. The strange modes always appear to be damped, much more so than the normal modes. They should never be observed as self-excited modes in real red giants but they may be detected in the spectrum of solar-like oscillations. A strange mode with a period close to that of a normal mode can influence both the period and growth rate of the normal mode.

arXiv comment6 pages, 5 figures, accepted by MNRAS

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• The Mira-based distance to the Galactic centre
• Kepler and the Long Period Variables
• Instability, finite amplitude pulsation and mass-loss in models of massive OB-type stars