Quantum Raychaudhuri equation
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 curvature singularities.
Sherpa Romeo green journal. Permission to archive final published version.
Raychaudhuri equation , Geodesics , Singularity theorems , Curvature singularities , Hawking-Penrose
Das, S. (2014). Quantum Raychaudhuri equation. Physical Review D, 89(8), 084068. doi: 10.1103/PhysRevD.89.804068