105 citations · 302 across the 5 of their papers we have counts for
5 papers
Asymptotically Flat Ricci Flows
T. Oliynyk, E. Woolgar
We study Ricci flows on , , that evolve from asymptotically flat initial data. Under mild conditions on the initial data, we show that the flow exists and remains asym…
A uniqueness theorem for the adS soliton
G. J. Galloway, S. Surya, E. Woolgar
The stability of physical systems depends on the existence of a state of least energy. In gravity, this is guaranteed by the positive energy theorem. For topological reasons this f…
New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld
C. Cadeau, E. Woolgar
We introduce two new families of solutions to the vacuum Einstein equations with negative cosmological constant in 5 dimensions. These solutions are static black holes whose horizo…
The AdS/CFT Correspondence Conjecture and Topological Censorship
G. Galloway, K. Schleich, D. Witt +1
In gr-qc/9902061 it was shown that (n+1)-dimensional asymptotically anti-de-Sitter spacetimes obeying natural causality conditions exhibit topological censorship. We use this fact…
A Causal Order for Spacetimes with Lorentzian Metrics: Proof of Compactness of the Space of Causal Curves
R. D. Sorkin, E. Woolgar
We recast the tools of ``global causal analysis'' in accord with an approach to the subject animated by two distinctive features: a thoroughgoing reliance on order-theoretic concep…