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CURVATURE BLOW UP ON A DENSE SUBSET OF THE SINGULARITY IN T3-GOWDY.
- Source :
-
Journal of Hyperbolic Differential Equations . Jun2005, Vol. 2 Issue 2, p547-564. 18p. - Publication Year :
- 2005
-
Abstract
- This paper is concerned with the Einstein vacuum equations under the additional assumption of T3-Gowdy symmetry. We prove that there is a generic set of initial data such that the corresponding solutions exhibit curvature blow up on a dense subset of the singularity. By generic, we mean a countable intersection of open sets (i.e. a Gδ set) which is also dense. Furthermore, the set of initial data is given the C∞ topology. This result was presented at a conference in Miami 2004. Recently, we have obtained a stronger result, but the argument to prove it is different and much longer. Therefore, we here wish to present the original argument. Finally, combining the results presented here with a paper by Chruściel and Lake, one obtains strong cosmic censorship for T3-Gowdy spacetimes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198916
- Volume :
- 2
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Hyperbolic Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 18526467
- Full Text :
- https://doi.org/10.1142/S021989160500052X