$\mathrm{\Omega }$-Slow Solutions and Be Star Disks

As the disk formation mechanism(s) in Be stars is(are) as yet unknown, we investigate the role of rapidly rotating radiation-driven winds in this process. We implemented the effects of high stellar rotation on m-CAK models accounting for: the shape of the star, the oblate finite disk correction factor, and gravity darkening. For a fast rotating star, we obtain a two-component wind model, i.e., a fast, thin wind in the polar latitudes and an $\mathrm{\Omega }$-slow, dense wind in the equatorial regions. We use the equatorial mass densities to explore H$\alpha$ emission profiles for the following scenarios:

1. a spherically symmetric star, 2) an oblate shaped star with constant temperature, and 3) an oblate star with gravity darkening. One result of this work is that we have developed a novel method for solving the gravity darkened, oblated m-CAK equation of motion. Furthermore, from our modeling we find a) the oblate finite disk correction factor, for the scenario considering the gravity darkening, can vary by at least a factor of two between the equatorial and polar directions, influencing the velocity profile and mass-loss rate accordingly, b) the H$\alpha$ profiles predicted by our model are in agreement with those predicted by a standard power-law model for following values of the line-force parameters: $1.5\lesssim k\lesssim 3$, $\alpha \sim 0.6$ and $\delta \gtrsim 0.1$, and c) the contribution of the fast wind component to the H$\alpha$ emission line profile is negligible; therefore, the line profiles arise mainly from the equatorial disks of Be stars.