Veranstaltung

Vortrag
Introduction to the BKL picture
PD Dr. Alan Rendall
7.1.2013, 13:00 Uhr – 14:00 Uhr

The BKL picture of spacetime singularities was developed by Belinskii, Khalatnikov and Lifshitz about forty years ago. Despite a great deal of work by many people since then, it is still not clear to what extent this heuristic picture is correct. Nevertheless, the BKL picture has driven a lot of research into the nature of singularities in solutions of the Einstein equations and is a central topic in the field of mathematical relativity. The only rigorous mathematical results available up to now concern either the spatially homogeneous case (where the PDE are replaced by ODE) or cases where the complicated oscillatory behaviour expected in general is replaced by monotone behaviour. This talk is intended to serve as an introduction to this topic as well as briefly introducing the few rigorous results. The present understanding of the inhomogeneous case, which makes use of heuristic and numerical techniques, will be explained in the talk of Claes Uggla.

Verknüpft mit:

• Alan Rendall