Logo

Mathematical Sciences Research Institute

Home » Riemannian Geometry: Stable fixed points of the Einstein flow with positive cosmological constant

Seminar

Riemannian Geometry: Stable fixed points of the Einstein flow with positive cosmological constant February 09, 2016 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Klaus Kroencke (Universit├Ąt Hamburg)
Description No Description
Video
No Video Uploaded
Abstract/Media

We prove nonlinear stability for a large class of solutions to the Einstein equations with a positive cosmological constant and compact spatial topology in arbitrary dimensions, where the spatial metric is Einstein with either positive or negative Einstein constant. The proof uses the CMC Einstein flow and stability follows by an energy argument. We prove in addition that the development of non-CMC initial data close to the background contains a CMC hypersurface, which in turn implies that stability holds for arbitrary perturbations. This is joint work with David Fajman.

No Notes/Supplements Uploaded No Video Files Uploaded