Conformal extendibility and Einstein-Maxwell-Dirac Theory

04.06.2015, 16:15 Uhr  –  Neues Palais, Haus 9, Raum 2.06
Forschungsseminar Differentialgeometrie

Olaf Müller (Universität Regensburg)

In this talk, we first present the concept of conformal extendibility and its importance in the analysis of the Maxwell-Dirac equations. Then we revise the restrictions conformal extendibility has on the topology and geometry of the standard Cauchy surfaces in the case of standard static spacetimes. Finally, we explain a new approach to present the Einstein-Dirac-Maxwell equations as a variational principle for a function on a Fréchet manifold, and show the existence of a maximal Cauchy development.