2 citations · 4 across the 7 of their papers we have counts for
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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…
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…