Séminaire de Géométrie

On the topology of the space of initial data sets subject to the dominant energy condition
Jonathan Glöckle (Kungliga Tekniska Högskolan)
Monday 30 June 2025 13:30 -  Tours -  1180 (Bât. E2)

Résumé :

The dominant energy condition is a curvature condition for Lorentzian manifolds that is assumed to hold for all physically reasonable spacetimes. It implies a curvature condition on the (gravitational) initial data sets on embedded spacelike hypersurfaces -- which also goes by the name dominant energy condition. In this talk I want to explain how to construct classes in the space of initial data sets subject to the strict dominant energy condition. If time permits, I will also comment on how these results can sometimes be extended to the case where the dominant energy condition is not necessarily assumed to hold strictly.

Liens :

• Indico