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Stability and instability of spatially homogeneous solutions in the T^2 symmetric setting

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 18, 2013 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Hans Ringström (Royal Institute of Technology (KTH))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Abstract Solutions to Einstein's equations with a high degree of symmetry play an important role in guiding our understanding of general relativity. It is therefore natural to ask: to what extent are these solutions representative? In the talk we give examples both of stability and instability and relate the results to more general conjectures. In particular, we illustrate the strong dependence of the conclusions on the presence/absence of a positive cosmological constant
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