Resolving Cosmological Singularities

Ali H. Chamseddine (1) , Viatcheslav Mukhanov

1 IHES - Institut des Hautes Études Scientifiques

We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature. In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the universe has a regular bounce which takes place during the time inversely proportional to the square root of the limiting curvature. Away from the bounce, corrections to General Relativity are negligible. In addition the non-singluar modification of General Relativity delivers for free a realistic candidate for Dark Matter.

Mots clés: general relativity; singularity; curvature; bounce; space-time: Kasner; cosmological model; space-time: Robertson-Walker; dark matter

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Ali H. Chamseddine, Viatcheslav Mukhanov. Resolving Cosmological Singularities. JCAP, 2017, 03, pp.009. ⟨10.1088/1475-7516/2017/03/009⟩. ⟨hal-01554788⟩