Quantum gravitational collapse: non-singularity and non-locality

Details Quantum gravitational collapse: non-singularity and non-locality Quantum gravitational collapse: non-singularity and non-locality

2008-02-27

arxiv.org/abs/0802.4087v2

JHEP 0806:042,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor clarifications, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2008/06/042

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.

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