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Geometric Analysis Seminar

"Bartnik's quasi-local mass in general relativity"

Jeff Jauregui , Union College

Location:  HILL 705
Date & time: Tuesday, 25 April 2017 at 3:00PM - 4:00PM




Time: 3:00 PM
Location: Hill 705
Abstract: In general relativity, the quasi-local mass problem is to find a "good" definition for the amount of mass contained within a compact 3-dimensional spatial region, Omega. Inspired by the classical definition of capacity, Bartnik's definition considers all possible asymptotically flat extensions of Omega (subject to certain natural geometric conditions), and minimizes the total (ADM) mass among such spaces. He conjectured that this infimum is attained. In joint work with Michael Anderson, we show that for a large family of regions, the infimum is not achieved. I will discuss our recent results, including (time-permitting) further results pertaining to Bartnik mass minimizers and static vacuum solutions of Einstein's equations.

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