1997/11/06 by M. J. Reboucas, M. J. Rebouças, R. K. Tavakol +1
Physics and Astronomy · #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Differential geometry #Fragility #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Mixing (physics) #Noncommutative and Quantum Gravity Theories #Topological defect #Topology (electrical circuits) #Universe #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1023/a:1018809922606
published as Gen.Rel.Grav. 30 (1998) 535-543 · 12 pages, LaTex file, to appear in Gen. Rel. Grav. (1998)
arxiv created 1997/11/06 · openalex publication_date 1998/04/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.