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Title: Stability Within $$T^2$$-Symmetric Expanding Spacetimes
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
Award ID(s):
1707427
PAR ID:
10285702
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Annales Henri Poincaré
Volume:
21
Issue:
3
ISSN:
1424-0637
Page Range / eLocation ID:
675 to 703
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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