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gr-qc2025
A simplified proof of a cosmological singularity theorem
Gregory J. Galloway, Eric Ling
In a previous paper [9], we proved the following singularity theorem applicable to cosmological models with a positive cosmological constant: if a four-dimensional spacetime satisf…
math.DG2025
Stability and rigidity of axisymmetric marginally outer trapped two-spheres
Gregory J. Galloway, Abraão Mendes
In [7], H. Bray, S. Brendle, and A. Neves studied rigidity properties of area-minimizing two-spheres in Riemannian three-manifolds with uniformly positive scalar curvature. In [13]…