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.
Highlights
At this stage in the development of theoretical investigations of the early universe, cosmological inflation [1,2,3,4,5,6,7] seems to be the most convincing theory
A large number of different models of cosmological inflation with canonical scalar fields based on Einstein gravity are considered to describe the inflationary stage of the evolution of universe [9,10,11,12]
One can define the connection between background deviation parameters { H, X, V } and ones corresponding to the Gauss–Bonnet term corrections to the parameters of cosmological perturbations { 1, 2, 3}
Summary
At this stage in the development of theoretical investigations of the early universe, cosmological inflation [1,2,3,4,5,6,7] seems to be the most convincing theory. A large number of different models of cosmological inflation with canonical scalar fields based on Einstein gravity are considered to describe the inflationary stage of the evolution of universe [9,10,11,12]. C (2020) 80:1145 ics in flat four-dimensional Friedmann–Robertson–Walker (FRW) space-time, which is sufficient for comparing such a models, since this type of geometry is the basis for constructing phenomenologically correct cosmological of models [53,54,61,62] This approach was used to analyze cosmological inflationary models based on the other modifications of Einstein gravity [60,63,64].
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