https://neckpinch.com/authors/leonardo-senatore/New arXiv papers by Leonardo Senatore, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2307.11504/arxiv:2307.11504Fri, 21 Jul 2023 00:00:00 GMTOr Hershkovits, Leonardo Senatore — We study mean convex mean curvature flow Mₛ of local spacelike graphs in the flat slicing of de Sitter space. We show that if the initial slice is of non-negative time and is graphical over a large enough ball, and if Mₛ is of bounded mean curvature, then as s goes to infinity, Mₛ becomes graphical in expanding balls, over which the gradient function converges to 1. In particular, if pₛ is the point lying over the center of the domain ball in Mₛ, then (Mₛ,pₛ) converges smoothly to the flat slicing of de Sitter space. This has some relation to the mean curvature flow approach to the cosmic no hair conjecture.Mean curvature flowLong-time existence & convergencePhysics