Topology and Fragility in Cosmology

Details Topology and Fragility in Cosmology Topology and Fragility in Cosmology

1997-11-06

arxiv.org/abs/gr-qc/9711026v1

Gen.Rel.Grav. 30 (1998) 535-543

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTex file, to appear in Gen. Rel. Grav. (1998)

Scientific paper

We introduce the notion of topological fragility and briefly discuss some examples from the literature. An important example of this type of fragility is the way globally anisotropic Bianchi V generalisations of the FLRW $k=-1$ model result in a radical restriction on the allowed topology of spatial sections, thereby excluding compact cosmological models with negatively curved three-sections with anisotropy. An outcome of this is to exclude chaotic mixing in such models, which may be relevant, given the many recent attempts at employing compact FLRW $k=-1$ models to produce chaotic mixing in the cosmic microwave background radiation, if the Universe turns out to be globally anisotropic.

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