Mean Curvature Flow in de Sitter space
METADATA ONLY
Loading...
Author / Producer
Date
2023-07-21
Publication Type
Working Paper
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We study mean convex mean curvature flow $M_s$ 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 $M_s$ is of bounded mean curvature, then as $s$ goes to infinity, $M_s$ becomes graphical in expanding balls, over which the gradient function converges to $1$. In particular, if $p_s$ is the point lying over the center of the domain ball in $M_s$, then $(M_s,p_s)$ 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.
Permanent link
Publication status
published
Editor
Book title
Journal / series
Volume
Pages / Article No.
2307.11504
Publisher
Cornell University
Event
Edition / version
v1
Methods
Software
Geographic location
Date collected
Date created
Subject
Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP); FOS: Mathematics; FOS: Physical sciences
Organisational unit
09737 - Senatore, Leonardo / Senatore, Leonardo