8 papers
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
On a Variant of the Penrose Conjecture
Sven Hirsch, Yipeng Wang
We give a counterexample to a recently conjectured variant of the Penrose inequality.
Stable -systoles, scalar curvature and spin comass bounds
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We prove a sharp stable -systolic inequality for complex projective space under the scalar curvature lower bound of the normalized Fubini-Study metric. If is diffeomorphic t…
The Spacetime Positive Mass Theorem with Multiple Time Dimensions
Sven Hirsch, Alec Payne, Yiyue Zhang
We generalize the spacetime positive mass theorem to include multiple time dimensions. In particular, we show that the mass remains nonnegative in the sense that the energy is…
Causal character of imaginary Killing spinors and spinorial slicings
Sven Hirsch, Yiyue Zhang
We characterize spin initial data sets that saturate the BPS bound in the asymptotically AdS setting. This includes both gravitational waves and rotating black holes in higher dime…
Hawking Mass Monotonicity for Initial Data Sets
Sven Hirsch
We introduce new systems of PDE on initial data sets whose solutions model double-null foliations. This allows us to generalize Geroch's monotonicity formula for the Hawk…