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- W2169386988 abstract "We analyse the behaviour of the mixmaster universe in the context of general relativity by applying methods from the geometric theory of dynamical systems in the complex plane and in particular by using what is known as the Painleve test. We find that the singularities of the mixmaster model in the complex plane are simple poles and the resonances are -1,2. This shows that chaotic behaviour may be absent in the mixmaster universe in general relativity. This analysis reinforces some recent numerical experiments which point to the same conclusion. We also Painleve-test the Euclidean version of the Bianchi IX spacetime which includes the gravitational analogues of the Yang-Mills instanton solutions. We find that this system also has the Painleve property and this supports previous conclusions that the Euclidean Bianchi IX field equations can be solved through Jacobi elliptic functions." @default.
- W2169386988 created "2016-06-24" @default.
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- W2169386988 date "1994-03-07" @default.
- W2169386988 modified "2023-10-16" @default.
- W2169386988 title "Painleve analysis of the mixmaster universe" @default.
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- W2169386988 doi "https://doi.org/10.1088/0305-4470/27/5/026" @default.
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