Quantum Raychaudhuri equation
General Relativity and Quantum Cosmology
2015-06-18 v2 High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.1311.6539,
title = {Quantum Raychaudhuri equation},
author = {Saurya Das},
journal= {arXiv preprint arXiv:1311.6539},
year = {2015}
}
Comments
Section on singularity theorems revised. To appear in Phys. Rev. D. 4 pages, revtex