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.
Reviewer: Jorge Pullin (Baton Rouge)
MSC:
83F05 | Relativistic cosmology |
83C56 | Dark matter and dark energy |
53Z05 | Applications of differential geometry to physics |
85A40 | Astrophysical cosmology |