On the topology of the space of initial data sets subject to the dominant energy condition

par M. Jonathan Glöckle (Kungliga Tekniska Högskolan)

lundi 30 juin 2025, 13:30 → 14:30 Europe/Paris

1180 (Bât. E2) (Tours)

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.