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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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Notions of proximity to spatial homogeneity and isotropy

Notions of proximity to spatial homogeneity and isotropy

Chapter:
(p.44) 4 Notions of proximity to spatial homogeneity and isotropy
Source:
On the Topology and Future Stability of the Universe
Author(s):

Hans Ringström

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680290.003.0004

The cosmological principle states that the universe is spatially homogeneous and isotropic. However, it is clear that this assumption is not exactly satisfied. As a consequence, it is of interest to quantify the distance to spatial homogeneity and isotropy. We illustrate the risks associated with approaching this topic in too naive a way by discussing unexpected pathological examples. In particular we discuss the EGS theorem.

Keywords:   cosmological principle, spatial homogeneity, isotropy, pathologies, EGS theorem

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