On the global nonlinear stability of self-gravitating matter

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

24 September 10:00 - 11:00

Philippe G. LeFloch - Sorbonne University

I will present recent progress on the problem of establishing global estimates on self-gravitating matter under low decay or low regularity conditions. (1) For Einstein's constraint equations, the existence of a broad class of asymptotically Euclidean solutions whose asymptotic behavior at infinity can be prescribed a priori. Collaboration with T. Nguyen. (2) For the colliding gravitational wave problem, the existence of a large class of spacetimes containing singularity hypersurfaces and satisfying suitable junction conditions. Collaboration with B. Le Floch and G. Veneziano. (3) For Einstein's evolution equations, the global stability of Minkowski spacetime in presence of a massive matter field. Collaboration with Y. Ma.
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


For practical matters at the Institute, send an e-mail to