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Title:
Asymptotic estimates for the Bartnik mass of small metric balls
Speaker:
Abstract:
For all the various definitions of quasilocal mass in general relativity it is natural to investigate their behavior on regions shrinking to a point. In particular one can seek a Taylor expansion of the mass of geodesic balls of small radius and fixed center. I will present some recent estimates for the Bartnik mass in this regime, including one that is obtained by estimating the ADM mass of asymptotically flat static vacuum extensions with "small" Bartnik boundary data to second order in the data.
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