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math.DG2026
Existence of uniform Temple charts and applications to null distance
Benjamin Meco, Anna Sakovich, Christina Sormani
In this paper, we prove that Temple's cylindrical future null coordinate charts can be constructed uniformly and we estimate the gradients of their optical functions. We then apply…
math.DG2026
Geometric Stability of the Schoen-Yau Zero Mass Theorem
Christina Sormani
In 1979, Schoen and Yau proved their famous Positive Mass Theorem which is a combination of a comparison theorem: {\em a three dimensional asymptotically flat Riemannian manifold w…
math.DG2025
Introducing Various Notions of Distances between Space-Times
Anna Sakovich, Christina Sormani
We introduce the notion of causally-null-compactifiable space-times which can be canonically converted into a compact timed-metric-spaces using the cosmological time of Andersson-H…