Infall Collapse Solutions in the Inner Limit: Radiation Pressure and its Effects on Star Formation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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28 pages, 7 uuencoded figs; accepted by ApJ

Scientific paper

10.1086/177201

In this paper, we study infall collapse solutions for star formation in the small radius limit where the particle orbits become nearly pressure-free. We generalize previous solutions to simultaneously include the effects of both radiation pressure and angular momentum. The effects of radiation pressure can be modeled using a modified potential; for representative cases of such potentials, we obtain analytical solutions for the density and velocity fields. In general, radiation pressure limits the maximum mass of a forming star by reversing the infall when the star becomes sufficiently large. Our results imply that this maximum mass scale is given by the condition that the turnaround radius $R_R$ (the radius at which the radiation pressure force exceeds the gravitational force) exceeds the centrifugal radius $R_C$ (the angular momentum barrier). The maximum mass scale for a star forming within a rotating collapse flow with radiation pressure depends on the initial conditions, but is generally much larger than for the case of spherical infall considered previously. In particular, stars with masses $M_\ast$ $\sim 100$ $M_\odot$ can form for a fairly wide range of initial conditions.

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