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Marsden Memorial Lecture: The constraint manifold of general relativity

Banff International Research Station for Mathematical Innovation and Discovery

The global study of the space of solutions of the Einstein constraint equations goes back to work of Jerry Marsden and co-workers in the early 1970’s. Since that time the subject has evolved in interesting ways. First it has been possible to localize the deformation theory in certain cases to deform solutions inside a chosen region without changing them outside. A second issue which arises in the deformation theory is a derivative loss problem which occurs when one attempts to place a manifold structure on the constraint manifold of solutions with a finite degree of differentiability. In this general lecture we will give an overview of these issues and developments.

Mathematics; Relativity and gravitational theory; Differential geometry

video/mp4

Author affiliation: University of California Irvine

2017-01-18

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60341

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/