Proof of a Null Penrose Conjecture using a new Quasi-local Mass

Proof of a Null Penrose Conjecture using a new Quasi-local Mass

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Henri Roesch, Duke University
Fine Hall 314

We define an explicit quasi-local mass functional which is nondecreasing along all null foliations (satisfying a convexity assumption) of null cones. We use this new functional to prove the Null Penrose Conjecture under fairly generic conditions.