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We describe a non-perturbative approach to studying the gravitationalcollapse of a scalar field in spherical symmetry with quantum gravitycorrections. Quantum effects are described by a phase space function thatmodifies the constraints of general relativity but does not affect the closureof their algebra. The model may be viewed as one that incorporates a class ofanomaly-free quantum gravity effects. Numerical simulations of the resultingfield equations show that the model reproduces known classical results forsufficiently massive initial data but gives a dramatic change at the thresholdof black hole formation characterized by oscillations and a mass gap.

Model for gravitational collapse in effective quantum gravity