Constant scalar curvature hypersurfaces in (3+1)-dimensional GHMC Minkowski spacetimes
classification
🧮 math.DG
gr-qc
keywords
spacetimeconstantcurvaturescalarcarriesdimensionaleveryfunction
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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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