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Issue A&A Volume 392, Number 2, September III 2002 Page(s) 575 - 584 Section Formation, structure and evolution of stars DOI 10.1051/0004-6361:20020938

A&A 392, 575-584 (2002)
DOI: 10.1051/0004-6361:20020938

Stellar evolution with rotation

IX. The effects of the production of asymmetric nebulae on the internal evolution

A. Maeder

Geneva Observatory, 1290 Sauverny, Switzerland

(Received 8 April 2002 / Accepted 19 June 2002 )

Abstract
The anisotropies of the mass loss by stellar winds, which lead to asymmetric nebulae, influence the loss of angular momentum. Polar enhanced mass loss is embarking less angular momentum than isotropic mass loss, while equatorial mass loss is removing more angular momentum. Thus, the evolution of a star and of its rotation is also influenced by the anisotropies. We give the basic equations expressing the evolution of the angular momentum for a rotating star experiencing mass loss by anisotropic stellar winds, with account for differential rotation, meridional circulation and shear diffusion. In the general case, the outer layers must be studied with a time dependent boundary conditions. However, for low enough mass loss rates, a stationary situation can be established at the stellar surface. It implies a positive -gradient for polar mass loss and a negative -gradient for a dominant equatorial mass loss. At the opposite, for extremely high mass loss rates (like for LBV and WR stars), the outer layers are removed before the torque associated to the anisotropies has the time to be transmitted inward.

We show that for the fastest rotating O-type stars (between 25 and 60  and for an average rotation velocity during the MS phase  km s ^-1), the anisotropies of the mass loss may significantly influence the evolution of the stellar velocities and may lead the stars to break-up.

Key words: stars: rotation -- stars: evolution -- stars: mass-loss

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