Fonctionne avec Indico
v3.2.8
I will present a simple modification of general relativity which is related to the topology and the global curvature of the Universe. There are two fully independent theoretical motivations for this modification: (i) related to the existence of a non-relativistic limit for any topology; (ii) related to the well-posedness of a variational principle for any topology. The main consequence for cosmology of this modification is that the expansion law does not feature anymore the curvature parameter (i.e. Ω_≠K = 1, ∀ Ω_K), which prevents in particular the presence of a bounce for a positive curvature. I will show that this allows us to construct a simple canonically quantizable inflationary model for any background curvature, something not possible in general relativity, which gives an additional argument for this topological modification.