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We model the gravitational collapse of heavy massive shells including itsmain quantum corrections. Among these corrections, quantum improvements comingfrom Quantum Einstein Gravity are taken into account, which provides us with aneffective quantum spacetime. Likewise, we consider dynamical Hawking radiationby modeling its back-reaction once the horizons have been generated. Ourresults point towards a picture of gravitational collapse in which thecollapsing shell reaches a minimum non-zero radius (whose value depends on theshell initial conditions) with its mass only slightly reduced. Then, there isalways a rebound after which most (or all) of the mass evaporates in the formof Hawking radiation. Since the mass never concentrates in a single point, nosingularity appears.

Singularity free gravitational collapse in an effective dynamical quantum spacetime