Quantum Raychaudhuri equation
arXiv:1311.6539 · doi:10.1103/PhysRevD.89.084068
Abstract
We compute quantum corrections to the Raychaudhuri equation, by replacing classical geodesics with quantal (Bohmian) trajectories, and show that they prevent focusing of geodesics, and the formation of conjugate points. We discuss implications for the Hawking-Penrose singularity theorems, and for curvature singularities.
Section on singularity theorems revised. To appear in Phys. Rev. D. 4 pages, revtex
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