Vortrag im Rahmen der Chemisch Physikalischen Gesellschaft
I will present two recent results on big bang singularities. First, there is a general condition on initial data for the Einstein-nonlinear scalar field equations which ensures that the corresponding development has a quiescent big bang singularity to the past of a point. This result can be seen as a localization of the big bang formation result of Oude Groeniger, Petersen and Ringström. Second, I will discuss how to obtain complete asymptotics for a large class of solutions to the Einstein-nonlinear scalar field equations with quiescent big bang singularities, by showing that they induce geometric initial data on the singularity. The first result is achieved by introducing a new gauge for Einstein's equations, which is fully hyperbolic and compatible with the second result. This is based on joint work with Hans Ringström.
