An official website of the United States government
null
(Ed.)
Abstract We prove a nonpolarised analogue of the asymptotic characterisation of $$T^2$$ T 2 -symmetric Einstein flow solutions completed recently by LeFloch and Smulevici. In this work, we impose a condition weaker than polarisation and so our result applies to a larger class. We obtain similar rates of decay for the normalised energy and associated quantities for this class. We describe numerical simulations which indicate that there is a locally attractive set for $$T^2$$ T 2 -symmetric solutions not covered by our main theorem. This local attractor is distinct from the local attractor in our main theorem, thereby indicating that the polarised asymptotics are unstable.
more »
« less
