Topological term in the Einstein equation and consequences for cosmology

Prof.

Quentin

Vigneron

Institute of Astronomy, Nicolaus Copernicus University, Toruń, Poland/École Normale Supérieure of Lyon, France

November 20, 2024 12:30 PM

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). This is a radical (parameter-free) departure from the Standard Model, which I will confront with observations of the Cosmic Microwave Background. Finally, I will show that this model allows us to construct a simple canonically quantizable inflationary scenario for any background curvature, something not possible in general relativity, which gives an additional argument for this topological modification.

This is a hybrid event:
Room D, the Institute of Physics PAS, Al. Lotników 32/46

Online: Zoom Link, (Passcode: 134595, Meeting ID: 823 8038 0442)