Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-10-31
Mon.Not.Roy.Astron.Soc. 350 (2004) 763
Astronomy and Astrophysics
Astrophysics
13 pages, 1 table, 3 figures, Accepted for publication to MNRAS
Scientific paper
10.1111/j.1365-2966.2004.07698.x
In this paper we study the effects of rotation on the frequencies of the quasi-normal modes of a proto-neutron star (PNS) born in a gravitational collapse during the first minute of life. Our analysis starts a few tenths of seconds after the PNS formation, when the stellar evolution can be described by a sequence of equilibrium configurations. We use the evolutionary models developed by Pons et al. (1999; 2001) that describe how a non rotating star cools down and contracts while neutrino diffusion and thermalization processes dominate the stellar dynamics. For assigned values of the evolution time, we set the star into slow rotation and integrate the equations of stellar perturbations in the Cowling approximation, both in the time domain and in the frequency domain, to find the quasi-normal mode frequencies. We study the secular instability of the g-modes, that are present in the oscillation spectrum due to the intense entropy and composition gradients that develop in the stellar interior, and we provide an estimate of the growth time of the unstable modes based on a post-Newtonian formula.
Ferrari Valeria
Gualtieri Leonardo
Pons Jose A.
Stavridis Adamantios
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