3 papers
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]…
math.DG2024
A CMC existence result for expanding cosmological spacetimes
Gregory J. Galloway, Eric Ling
We establish a new CMC (constant mean curvature) existence result for cosmological spacetimes, i.e., globally hyperbolic spacetimes with compact Cauchy surfaces satisfying the stro…