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On the Topology and Future Stability of the Universe$
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Hans Ringström

Print publication date: 2013

Print ISBN-13: 9780199680290

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199680290.001.0001

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Spatially homogeneous metrics, symmetry reductions

Spatially homogeneous metrics, symmetry reductions

(p.435) 25 Spatially homogeneous metrics, symmetry reductions
On the Topology and Future Stability of the Universe

Hans Ringström

Oxford University Press

One of the main results of the book is the future stability of a large class of spatially locally homogeneous solutions. However, in order to obtain such a result, we first need to analyse the spatially homogeneous solutions. In Chapter 25, we begin this analysis by formulating a symmetry reduced version of the equations in the spatially homogeneous setting. We also provide a first continuation criterion.

Keywords:   spatial homogeneity, symmetry reduction, continuation criterion, future stability

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