Abstract
We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black holes are macroscopic extended objects. We also comment briefly on the relevance of this result for the ultraviolet self-completion of gravity and the connection with the corpuscular picture of black holes.
Highlights
Introduction and motivationIt has been often argued that quantum gravity should remove the singularity predicted by General Relativity at the endpoint of the gravitational collapse [1]
We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black holes are macroscopic extended objects
We study this issue by considering a simple quantum description of the gravitational collapse of a ball of dust [2]
Summary
It has been often argued that quantum gravity should remove the singularity predicted by General Relativity at the endpoint of the gravitational collapse [1]. We study this issue by considering a simple quantum description of the gravitational collapse of a ball of dust [2]. This is similar to the quantum removal of the classical UV catastrophe in the hydrogen atom, except that the mass M naturally introduces a lower bound on the energy spectrum which would be absent in the Newtonian approximation.
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