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Could the universe have an exotic topology? (English) Zbl 1437.83167

In a recent paper of the first author [“Convergence and stability issues in mathematical cosmology”, in: General relativity and gravitation – a centennial perspective. Cambridge, UK: Cambridge University Press (2015); Zbl 1332.83005] it is argued that there exist many closed three manifolds that do not admit a locally isotropic and homogeneous metric that nevertheless evolve into space-times compatible with the current structure of the universe. This article takes into account the contribution of dark matter to this process.

MSC:

83F05 Relativistic cosmology
83C56 Dark matter and dark energy
53Z05 Applications of differential geometry to physics
85A40 Astrophysical cosmology

Citations:

Zbl 1332.83005