University of Connecticut

Events Calendar

PDE and Differential Geometry Seminar
The Null Penrose Inequality and Weakly Isolated Horizons
Henri Roesch (Columbia University)

Monday, August 26, 2019
2:30pm – 3:30pm

Storrs Campus
MONT 214

We introduce a new quasi-local mass with interesting properties along null flows off of a 2-sphere in space-time or, equivalently, foliations of a null cone. We also show how certain convexity assumptions along a foliation of a null cone give rise to the Penrose inequality. For monotonicity from a MOTS, one requires these convexity assumptions be sharp, so we explore existence within a Weakly Isolated Horizon. Building on a lemma of S. Alexakis, this allows us to show that the Penrose Inequality is stable under small perturbations of the standard Schwarzschild null cone.


PDE and Differential Geometry Seminar (primary), UConn Master Calendar

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