Exact inflation in Einstein–Gauss–Bonnet gravity
- Authors: Fomin I.V.1, Chervon S.V.2,3
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Affiliations:
- Bauman Moscow State Technical University
- Ulyanovsk State Pedagogical University
- Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science
- Issue: Vol 23, No 4 (2017)
- Pages: 367-374
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176107
- DOI: https://doi.org/10.1134/S0202289317040090
- ID: 176107
Cite item
Abstract
We study cosmological inflation in the Einstein gravity model with the additionally included Gauss–Bonnet term nonminimally coupled to a scalar field. We prove that inflationary solutions of exponential and power-law types are allowable, and we found few examples of them. We also propose a method for construction of exact inflationary solutions for a single scalar field with a given scale factor and Gauss–Bonnet coupling term in a spatially flat Friedmann–Robertson–Walker Universe on the basis of connection with standard inflation and using special assumptions. With one special anzatz we presented the set of equations in a form that allows for generation of exact solutions (at least in quadratures) of a wide class by setting the scale factor.
About the authors
I. V. Fomin
Bauman Moscow State Technical University
Author for correspondence.
Email: ingvor@inbox.ru
Russian Federation, 2-ya Baumanskaya ul. 5, Moscow, 105005
S. V. Chervon
Ulyanovsk State Pedagogical University; Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science
Email: ingvor@inbox.ru
Russian Federation, 100-years V.I. Lenin’s Birthday Square, Ulyanovsk, 432071; Private Bag X54 001, Durban, 4000