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Constructing localized solutions of the Einstein constraint equations

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

September 10, 2013 (03:30 PM PDT - 04:30 PM PDT)

Speaker(s): Richard Schoen (University of California, Irvine)
Location: MSRI: Simons Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

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Abstract

There are obstructions, such as the postive mass theorem, which require that general solutions of the Einstein equations must have nonvanishing asymptotic terms at infinity, and so cannot be localized. The extent to which they can be localized in light of these obstructions leads to constructions of interesting solutions with very special asymptotic behavior. We will describe such results and how they are obtained in this talk

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