3 papers
gr-qc2019
The kink on a wormhole spacetime
Alice Waterhouse
The soliton resolution conjecture states that solutions to solitonic equations with generic initial data should, after some non--linear behaviour, eventually resolve into a finite…
math.DG2019
Einstein Metrics, Projective Structures and the Toda Equation
Maciej Dunajski, Alice Waterhouse
We establish an explicit correspondence between two--dimensional projective structures admitting a projective vector field, and a class of solutions to the Toda equati…
math.DG2018
Some examples of projective and --projective compactifications of Einstein metrics
Maciej Dunajski, A. Rod Gover, Alice Waterhouse
We construct several examples of compactifications of Einstein metrics. We show that the Eguchi--Hanson instanton admits a projective compactification which is non--metric, and tha…