Initial data rigidity results
General Relativity and Quantum Cosmology
2023-03-07 v2 Differential Geometry
Abstract
We present several rigidity results for initial data sets motivated by the positive mass theorem. An important step in our proofs here is to establish conditions that ensure that a marginally outer trapped surface is "weakly outermost". A rigidity result for Riemannian manifolds with a lower bound on their scalar curvature is included as a special case.
Cite
@article{arxiv.2009.09527,
title = {Initial data rigidity results},
author = {Michael Eichmair and Gregory J. Galloway and Abraão Mendes},
journal= {arXiv preprint arXiv:2009.09527},
year = {2023}
}
Comments
22 pages. Final version. Published in Commun. Math. Phys., vol. 386 (2021). All comments welcome