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.

Contact:

lihan.wang@uconn.edu

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

Control Panel