2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
An Entropy-Based Criterion for Geodesic Incompleteness
Rohit Dhormare
We develop an entropy-based formulation of gravitational focusing in Lorentzian geometry by associating a scalar entropy functional to timelike geodesic congruences. Rewriting the…
Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces
Rohit Dhormare
We develop a geometric framework based on metric--measure spaces , where the function defines a deformation of the Riemannian measure motivated by Perelman's formulati…
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…