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5 Global Existence for Small Data

An alternative to symmetry assumptions is provided by “small data” results, where solutions are studied that develop from data close to those for known solutions. This leads to some simplification in comparison to the general problem, but with present techniques it is still very hard to obtain results of this kind.


 5.1 Stability of de Sitter space
 5.2 Stability of Minkowski space
 5.3 Stability of the (compactified) Milne model
 5.4 Stability of the Bianchi type III form of flat spacetime

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