Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

When do spacetimes have constant mean curvature slices?

QMAP Seminar

Speaker: James Dilts, San Diego
Location: 2112 MSB
Start time: Fri, Oct 20 2017, 1:30PM

Many results in mathematical relativity, including results for both the initial data problem and for the evolution problem, rely on the existence of a constant mean curvature (CMC) Cauchy surface in the underlying spacetime. However, it is known that some spacetimes have no CMC Cauchy surfaces (slices). This is an obstacle for many results and constructions with these types of spacetimes, and is particularly worrisome since it is not known whether spacetimes that do have CMC slices are in any sense generic. In this talk, we will introduce why slices of this type are so important, then discuss what is known about them and what we still need to learn.