An exact spherically symmetric analytic collapse model grows an apparent horizon H(t) from zero to 2M while hiding an integrable central singularity and preserving weak cosmic censorship without exotic matter.
Quantum gravitational collapse: non-singularity and non-locality
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abstract
We investigate gravitational collapse in the context of quantum mechanics. We take primary interest in the behavior of the collapse near the horizon and near the origin (classical singularity) from the point of view of an infalling observer. In the absence of radiation, quantum effects near the horizon do not change the classical conclusions for an infalling observer, meaning the horizon is not an obstacle for him. However, quantum effects are able to remove the classical singularity at the origin, since the wave function is non-singular at the origin. Also, near the classical singularity, some non-local effects become important. In the Schrodinger equation describing behavior near the origin, derivatives of the wave function at one point are related to the value of the wave function at some other distant point.
fields
gr-qc 2years
2026 2representative citing papers
After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.
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An exact spherically symmetric analytic collapse model grows an apparent horizon H(t) from zero to 2M while hiding an integrable central singularity and preserving weak cosmic censorship without exotic matter.
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After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.