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Mixing Properties of Compact K = −1 FLRW Models

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Deterministic Chaos in General Relativity

Part of the book series: NATO ASI Series ((NSSB,volume 332))

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Abstract

We study the mixing properties of compact k = −1 FLRW models, as a function of the cosmological parameters and the topological compactification scale. We find the mixing to be less pronounced than some of the claims made previously, nevertheless in low density universes the mechanism can give rise to appreciable mixing and result in a reduction in the measured cmwbr anisotropy on a range of angular scales. These models also have other important features, namely: (i) they allow chaos to be expressed in a gauge invariant way; (ii) they are structurally stable and (iii) in low density universes they result in radically different estimates of length scales with potentially important consequences for the interpretation of the angular variation of the background radiation.

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Author information

Authors and Affiliations

  1. Astronomy Unit, Queen Mary & Westfield College, Mile End Road, London, E1 4NS, UK

    George Ellis & Reza Tavakol

  2. Department of Applied Mathematics, University of Cape Town, Rondebosch, C.P. 7700, South Africa

    George Ellis

  3. SISSA, Miramare, Trieste, Italy

    George Ellis

Authors
  1. George Ellis
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  2. Reza Tavakol
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Editor information

Editors and Affiliations

  1. University of Calgary, Calgary, Alberta, Canada

    David Hobill

  2. Dalhousie University, Halifax, Nova Scotia, Canada

    Adrian Burd  & Alan Coley  & 

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Ellis, G., Tavakol, R. (1994). Mixing Properties of Compact K = −1 FLRW Models. In: Hobill, D., Burd, A., Coley, A. (eds) Deterministic Chaos in General Relativity. NATO ASI Series, vol 332. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9993-4_13

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  • DOI: https://doi.org/10.1007/978-1-4757-9993-4_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9995-8

  • Online ISBN: 978-1-4757-9993-4

  • eBook Packages: Springer Book Archive

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