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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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The topology of the universe

The topology of the universe

(p.30) 3 The topology of the universe
On the Topology and Future Stability of the Universe

Hans Ringström

Oxford University Press

When formulating Einstein’s equations as an initial value problem, the topology of the spacetime is determined by that of the initial hypersurface. Moreover, in cosmology, it is natural to assume the initial hypersurface to be a closed 3-manifold. The chapter contains a description of geometrisation of 3-manifolds, a characterisation of closed 3-manifolds in terms of preferred geometries. Moreover, connections between geometrisation and comology are described.

Keywords:   cosmology, topology, geometrisation, general relativity, 3-manifolds

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