Mira Fernandes Lectures on Mathematical Relativity 

18/06/2013, 14:00 — 15:00 — Room P3.10, Mathematics Building
Hans Ringström, KTH, Stockholm

On the stability and topology of the universe (II)

In these lectures, a brief general introduction to the Cauchy problem in general relativity will be given. Moreover, some examples of hyperbolic formulations of the equations will be discussed. The proof of the existence of a maximal globally hyperbolic development will also be sketched, including a discussion of the analysis background. Turning to global issues, choices of equations that are appropriate in order to prove global existence in the case of a positive cosmological constant will be presented. Finally, a proof of global existence will be sketched in that setting.