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Quantum Raychaudhuri equation
classification
🌀 gr-qc
hep-thquant-ph
keywords
equationgeodesicsquantumraychaudhuribohmianclassicalcomputeconjugate
read the original 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.
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Forward citations
Cited by 2 Pith papers
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On gravitational collapse and integrable singularities
After Minkowski breaking in the interior geometry, the quantum potential in the Raychaudhuri equation strongly resists further collapse toward the central singularity.
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On gravitational collapse and integrable singularities
After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.
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