Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2014 · 75 citations · 14 references
Natural SciencesMathematicsPhysicsMathematical PhysicsQuantum MechanicsTheoretical PhysicsGeneral RelativityGeodesic MotionRelativistic Quantum MechanicsConjugate PointsGeodesic FocusingQuantum Corrections To General RelativityQuantum GeometryRaychaudhuri EquationSingularities
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.
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Particle creation by black holes
S. W. Hawking · Communications in Mathematical Physics · 1975 · 12.9K citations
Gravitational Collapse and Space-Time Singularities
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