5 papers
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…
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…
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]…
Mean Curvature, Singularities and Time Functions in Cosmology
Gregory J. Galloway, Leonardo GarcÃa-Heveling
In this contribution, we study spacetimes of cosmological interest, without making any symmetry assumptions. We prove a rigid Hawking singularity theorem for positive cosmological…
Rigidity aspects of Penrose's singularity theorem
Gregory J. Galloway, Eric Ling
In this paper, we study rigidity aspects of Penrose's singularity theorem. Specifically, we aim to answer the following question: if a spacetime satisfies the hypotheses of Penrose…