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arXiv · 1703.08886

Constant scalar curvature hypersurfaces in $(3+1)$-dimensional GHMC Minkowski spacetimes

Graham Smith
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Abstract

We prove that every $(3+1)$-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.

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Graham Smith. 2017-03-26. Constant scalar curvature hypersurfaces in $(3+1)$-dimensional GHMC Minkowski spacetimes. https://doi.org/10.1016/j.geomphys.2017.11.006

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