Existence of CMC Cauchy surfaces and spacetime splitting

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

17 October 11:00 - 12:00

Greg Galloway - University of Miami

As is well known, constant mean curvature (CMC) spacelike hypersurfaces play an important role in the study of the Einstein equations. In this talk, we discuss results (older and more recent) on the existence (and nonexistence) of CMC spacelike hypersurfaces in the cosmological setting, and discuss the connection to the spacetime splitting problem. This talk is based on a contribution to a special issue of PAMQ in honor of Robert Bartnik, and involves joint work with Eric Ling.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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