BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

A Penrose-like inequality for asymptotically flat null hypersurfaces Mars, Marc


In this talk I will analyze the limit at infinity of the Hawking energy along foliations by spacelike cross sections of an asymptotically flat null hyper surface \(\Omega\). A functional on two-surfaces will be introduced and its monotonicity properties and asymptotic behaviour at infinity will be considered. In particular a foliation in \(\Omega\) will be shown to exist for which a Penrose-like inequality in \(\Omega\) holds where, instead of in terms of the Bondi energy, the area of the MOTS is bounded in terms the asymptotic value of the Hawking energy along the foliation. Applications of the methods for the Penrose inequality will also be mentioned.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International