7 citations · 8 across the 3 of their papers we have counts for
6 papers
Some uniqueness results for dynamical horizons
Abhay Ashtekar, Gregory J. Galloway
We first show that the intrinsic, geometrical structure of a dynamical horizon is unique. A number of physically interesting constraints are then established on the location of tra…
Cosmological Spacetimes with
Gregory J. Galloway
We discuss some global properties of cosmological spacetimes of de Sitter type, based on results with Lars Andersson obtained in hep-th/0202161. We relate the geometry and topology…
Some global results for asymptotically simple spacetimes
Gregory J. Galloway
The null splitting theorem (proved in math.DG/9909158) is discussed. As an application, a uniqueness theorem for Minkowski space and for de Sitter space associated with the occurre…
Boundaries of Zero Scalar Curvature in the AdS/CFT Correspondence
Mingliang Cai, Gregory J. Galloway
In hep-th/9910245, Witten and Yau consider the AdS/CFT correspondence in the context of a Riemannian Einstein manifold of negative Ricci curvature which admits a conforma…
Regularity of Horizons and The Area Theorem
Piotr T. Chruściel, Erwann Delay, Gregory J. Galloway +1
We prove that the area of sections of future event horizons in space-times satisfying the null energy condition is non-decreasing towards the future under any one of the following…
Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature
Mingliang Cai, Greg Galloway
The following version of a conjecture of Fischer-Colbrie and Schoen is proved: If M is a complete Riemannian 3-manifold with nonnegative scalar curvature which contains a two-sided…