Constant scalar curvature hypersurfaces in $(3+1)$-dimensional GHMC Minkowski spacetimes
Differential Geometry
2018-04-04 v2 General Relativity and Quantum Cosmology
Abstract
We prove that every -dimensional flat GHMC Minkowski spacetime which is not a translation spacetime or a Misner spacetime carries a unique foliation by spacelike hypersurfaces of constant scalar curvature. In otherwords, we prove that every such spacetime carries a unique time function with isochrones of constant scalar curvature. Furthermore, this time function is a smooth submersion.
Keywords
Cite
@article{arxiv.1703.08886,
title = {Constant scalar curvature hypersurfaces in $(3+1)$-dimensional GHMC Minkowski spacetimes},
author = {Graham Smith},
journal= {arXiv preprint arXiv:1703.08886},
year = {2018}
}