Stability Within $$T^2$$-Symmetric Expanding Spacetimes
2019 ◽
Vol 21
(3)
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pp. 675-703
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AbstractWe prove a nonpolarised analogue of the asymptotic characterisation of $$T^2$$T2-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 $$T^2$$T2-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.
1977 ◽
Vol 35
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pp. 466-467
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2016 ◽
Vol 19
(1)
◽
pp. 127-158
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2007 ◽
Vol 17
(4)
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pp. 347-380
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