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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 258 - Differential Geometry
Pengzi Miao
U.C. Santa Barbara
On some geometric problems in mathematical relativity
Abstract:
We start by discussing some general properties of asymptotically flat static solutions to the vacuum Einstein equations. Then we prove a rigidity theorem of Schwarzchild spacetimes among all such solutions with horizon(minimal surface) boundary. In the end, we relate our discussion to Bartnik's quasi-local mass definition.
Host: Neshan Wickramasekera
October 26, 2005
4:00 PM
AP&M 5829
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