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Quasi-local mass in general relativity

Introductory Workshop: Mathematical Relativity September 09, 2013 - September 13, 2013

September 12, 2013 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Mu-Tao Wang (Columbia University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Abstract One of the greatest accomplishments of the theory of general relativity in the past century is the proof of the positive mass/energy theorem for asymptotically flat space-times. However, the concept of mass/energy remains a challenging problem because of the lack of a quasi-local description. Most observable physical models are finitely extended spatial regions and measurement of mass/energy on such a region is essential in many fundamental issues. In my talks, I shall first survey several notions of quasi-local mass including the Hawking mass, the Bartnik mass, the Brown-York mass, and their applications. At the end, I shall describe a new proposal of quasi-local mass/energy and discuss its application in the invariant mass conjecture of general relativity.
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