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gr-qc2024
A lower semicontinuous time separation function for spacetimes
Eric Ling
The time separation function (or Lorentzian distance function) is a fundamental object used in Lorentzian geometry. For smooth spacetimes it is known to be lower semicontinuous, an…
gr-qc2024
Examples of cosmological spacetimes without CMC Cauchy surfaces
Eric Ling, Argam Ohanyan
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simple…