2 citations · 4 across the 7 of their papers we have counts for
8 papers
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]…
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…
Some rigidity results for charged initial data sets
Gregory J. Galloway, Abraão Mendes
In this note, we consider some initial data rigidity results concerning marginally outer trapped surfaces (MOTS). As is well known, MOTS play an important role in the theory of bla…
Mean Curvature, Singularities and Time Functions in Cosmology
Gregory J. Galloway, Leonardo García-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…
Aspects of the geometry and topology of expanding horizons
Gregory J. Galloway, Abraão Mendes
The aim of this paper is to extend some basic results about marginally outer trapped surfaces to the context of surfaces having general null expansion. Motivated in part by recent…
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…
Rigidity of marginally outer trapped 2-spheres
Gregory J. Galloway, Abraao Mendes
In a matter-filled spacetime, perhaps with positive cosmological constant, a stable marginally outer trapped 2-sphere must satisfy a certain area inequality. Namely, as discussed i…