Global hyperbolicity through the eyes of the null distance

08.12.2022, 14:15-15:45  –  2.22 und Zoom
Geometric Analysis, Differential Geometry and Relativity

Leonardo Garcia Heveling

Can one encode the causal information of a spacetime in a metric space structure? In 2016, Sormani and Vega conjectured how this may be done. In this talk, I will present some recent results confirming that the answer is yes. Not only can the causal relation be encoded, but also the condition of global hyperbolicity can be characterized via completeness of the corresponding metric space. This is joint work with Annegret Burtscher.

This talk is part of the seminar Geometric Analysis, Differential Geometry and Relativity organized by Carla Cederbaum (Uni Tübingen), Melanie Graf (Uni Tübingen), and Jan Metzger (Uni Potsdam) . To obtain the Zoom data please contact jan.metzger@uni-potsdam.de