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In the presence of a Weyl scaling invariant cosmological action, black holesno longer have an event horizon and an apparent horizon. So they have notrapped surfaces, and may be "leaky", emitting a "black hole wind" which couldlead to star formation in the neighborhood of the hole. In this paper weformulate and analyze a one-dimensional model for star formation resulting froma postulated outgoing black hole particle flux, incident on a distant sphericalsurface modeled as a set of planar disks surrounding the hole. Using the Toomreanalysis of the Jeans instability of a disk, we compute conditions for a diskcollapse instability and estimate the collapse time. We suggest a mechanism forgiving the disk angular momentum around the central black hole. This gives apossible explanation for the puzzling observation of young stars forming in thevicinity of the black hole Sagittarius A* central to the Milky Way galaxy.

A One-Dimensional Model for Star Formation Near a "Leaky" Black Hole