Gauss–Bonnet term corrections in scalar field cosmology

Abstract

The influence of non-minimal coupling of a scalar field and the Gauss–Bonnet term on the inflationary stage of evolution of the universe is investigated in this paper. The main cosmological effects of such a coupling were considered. The deviations between Einstein–Gauss–Bonnet inflation and standard one based on Einstein gravity were determined. The corrections of a weak GB coupling preserving the type of the scalar field potential to standard inflationary models is considered as well.

Construction of inflationary scenarios with the Gauss–Bonnet term and nonminimal coupling

“…There are a lot of inflationary scenarios in Einstein-Gauss-Bonnet gravity . The most of them includes a constant function F [63][64][65][66][67][68][69]71,73,[75][76][77][78][79][80][81][82]86]. Note that for models with a constant F, the problem of reconstructing the function V and ξ from the observational data has been considered in Ref.…”

De Sitter Solutions in Einstein–Gauss–Bonnet Gravity

“…The cosmological models with the Gauss-Bonnet term are motivated by the string theory [30][31][32][33][34][35][36][37] and are actively used for describing of both the early Universe evolution (inflation) [25][26][27][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] and the current dark energy dominated epoch [28][29][30][31]36,37,[58][59][60][61][62][63][64][65][66]. Note that both stages of the Universe evolution are characterized by the quasi de Sitter accelerated expansion of the Universe.…”

Wave-Like Exact Models with Symmetry of Spatial Homogeneity in the Quadratic Theory of Gravity with a Scalar Field

“…Curvature-quadratic scalar-field theories of gravity usually arise as consequences in models of quantum gravity, string theory and M-theories as modifications of general relativity (GR) [1]. They have a number of interesting properties (renormalizability, inflation) and can claim a more realistic description of the initial stages of the development of the Universe in comparison with general relativity [2,3]. It should be noted that, historically, the first inflationary model [4] was built not on the basis of the theory of gravity, quadratic in curvature, but on models with a scalar field-an "inflaton" (the development of which began after the work of [5]).…”