Stability and instability of spatially homogeneous solutions in the T^2 symmetric setting
Hans Ringström (Royal Institute of Technology (KTH))
MSRI: Simons Auditorium
Solutions to Einstein's equations with a high degree of symmetry play an important role in guiding our understanding of general relativity. It is therefore natural to ask: to what extent are these solutions representative? In the talk we give examples both of stability and instability and relate the results to more general conjectures. In particular, we illustrate the strong dependence of the conclusions on the presence/absence of a positive cosmological constant
The talk will contain an overview of mathematical problems arising in the study of the universe. Moreover, it will provide a description of various methods that have been used to address these problems, as well as results that have been obtained.