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gr-qc2026
Scale-Invariant Non-Collapse from Raychaudhuri Comparison
Rohit Dhormare
We establish a scale-invariant spatial non-collapse estimate for hypersurface-orthogonal timelike geodesic congruences. The result extends a previous Raychaudhuri-based constructio…
gr-qc2026★ 2 cited
Entropy and Non-Collapse in Lorentzian Geometry
Rohit Dhormare
In this paper, we establish a geometric correspondence between the Lorentzian Raychaudhuri equation and Perelman's non-collapsing theorem for the Ricci flow. By interpreting the Ra…