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Quantum Raychaudhuri equation

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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.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

On gravitational collapse and integrable singularities

gr-qc · 2026-05-03 · unverdicted · novelty 3.0 · 2 refs

After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.

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  • On gravitational collapse and integrable singularities gr-qc · 2026-05-03 · unverdicted · none · ref 22 · 2 links · internal anchor

    After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.