196 citations · 1.2k across the 55 of their papers we have counts for
60 papers
Remarks on the size of apparent horizons
Gregory J. Galloway
Marginally outer trapped surfaces (also referred to as apparent horizons) that are stable in 3-dimensional initial data sets obeying the dominant energy condition strictly are know…
A note on null distance and causality encoding
Gregory J. Galloway
Under natural conditions, the null distance introduced by Sormani and Vega [10] is a metric space distance function on spacetime, which, in a certain precise sense, can encode the…
Some rigidity results for compact initial data sets
Gregory J. Galloway, Abraão Mendes
In this paper, we prove several rigidity results for compact initial data sets, in both the boundary and no boundary cases. In particular, under natural energy, boundary, and topol…
Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime
Piotr T. Chruściel, Gregory J. Galloway
We prove uniqueness, existence, and regularity results for maximal hypersurfaces in spacetimes with a conformal completion at timelike infinity and asymptotically constant scalar c…
The codimension 2 null cut locus with applications to spacetime topology
Gregory J. Galloway, Eric Ling
In this paper we review and extend some results in the literature pertaining to spacetime topology while naturally utilizing properties of the codimension 2 null cut locus. Our res…
Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
Piotr T. Chruściel, Gregory J. Galloway
We prove positive mass theorems for asymptotically hyperbolic and asymptotically locally hyperbolic Riemannian manifolds with black-hole-type boundaries.