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Exact inflation in Einstein–Gauss–Bonnet gravity

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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.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, 2-ya Baumanskaya ul. 5, Moscow, 105005, Russia

    I. V. Fomin

  2. Ulyanovsk State Pedagogical University, 100-years V.I. Lenin’s Birthday Square, Ulyanovsk, 432071, Russia

    S. V. Chervon

  3. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54 001, Durban, 4000, South Africa

    S. V. Chervon

Authors
  1. I. V. Fomin
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  2. S. V. Chervon
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Correspondence to I. V. Fomin.

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Fomin, I.V., Chervon, S.V. Exact inflation in Einstein–Gauss–Bonnet gravity. Gravit. Cosmol. 23, 367–374 (2017). https://doi.org/10.1134/S0202289317040090

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  • DOI: https://doi.org/10.1134/S0202289317040090

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