Stability of the Milne model with matter

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

07 November 10:00 - 11:00

David Fajman - University of Vienna

The celebrated future stability of the Milne model under the vacuum Einstein flow by Andersson and Moncrief has been generalised in recent years to different Einstein-matter systems in 3+1-dimensions. The problem has been considered for the Einstein-Vlasov system by Anderson-F., for the Einstein-Klein-Gordon system by F.-Wyatt and for the Einstein-Maxwell system as part of a more general class of systems, arising from higher-dimensional spacetimes with symmetries by a Kaluza-Klein reduction, by Branding-F.-Kroencke. Each result requires individual technical ideas to control the respective matter model in the perturbed Milne geometry. We will give an overview on the main mechanism of stability of the Milne geometry for these Einstein-matter systems.
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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