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On the dynamics of Gowdy space times

Abstract:
We study the behavior near the singularity t=0 of Gowdy metrics. We prove existence of an open dense set of boundary points near which the solution is smoothly "asymptotically velocity term dominated" (AVTD). We show that the set of AVTD solutions satisfying a uniformity condition is open in the set of all solutions. We analyse in detail the asymptotic behavior of "power law" solutions at the (hitherto unchartered) points at which the asymptotic velocity equals zero or one. Several other related results are established.

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Publisher copy:
10.1002/cpa.20016
Journal:
Communications on Pure and Applied Mathematics More from this journal
Volume:
57
Issue:
8
Pages:
1015-1074
Publication date:
2003-05-08
DOI:
EISSN:
1097-0312
ISSN:
0010-3640
Language:
English
Keywords:
Pubs id:
pubs:13001
UUID:
uuid:213bc69a-19ac-4082-b79b-0e79823e5791
Local pid:
pubs:13001
Source identifiers:
13001
Deposit date:
2012-12-20

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