ИСТИНА

There are two basic motivations to modify gravity. The first one is an attempt to connect gravity with quantum physics by including quantum correction terms to Einstein’s equations. In string theory inspired models the Gauss–Bonnet term arises naturally. The second motivation is to describe the Universe evolution in a more natural way, without the dark energy and/or the dark matter components. Gauss–Bonnet gravity models are actively used to investigate either the dark energy domination era, the matter dominated era and the inflation. So, the investigation of modified gravity models with the Gauss–Bonnet term is well motivated. In my report, I give a short review of cosmological models with the Gauss–Bonnet term, including non-local ones.