Speaker
Gregory Galloway, University of Miami
Abstract
As we know, constant mean curvature (CMC) spacelike hypersurfaces have played an important role in mathematical relativity, in particular in the study of the Einstein equations, both in terms of solving the initial data constraints, and in evolving CMC initial data. Further interest for us on this topic comes from the Bartnik splitting conjecture. In this talk we review some old, and present some new, existence results for CMC spacelike hypersurfaces in the class of cosmological (spatially closed) spacetimes. Some connections to the causal boundary of spacetime are also discussed. This involves joint work with Eric Ling.