Singularity avoidance by collapsing shells in quantum gravity

Details Singularity avoidance by collapsing shells in quantum gravity Singularity avoidance by collapsing shells in quantum gravity

2001-07-31

arxiv.org/abs/gr-qc/0107102v1

Int.J.Mod.Phys. D10 (2001) 775-780

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure, received honorable mention in the 2001 essay competititon, to appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271801001578

We discuss a model describing exactly a thin spherically symmetric shell of matter with zero rest mass. We derive the reduced formulation of this system in which the variables are embeddings, their conjugate momenta, and Dirac observables. A non-perturbative quantum theory of this model is then constructed, leading to a unitary dynamics. As a consequence of unitarity, the classical singularity is fully avoided in the quantum theory.

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