2017/04/12 by Igor V. Fomin, I. V. Fomin, S. V. Chervon +1 · 1 citation
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Einstein #Exact solutions in general relativity #Gravitation #Inflation (cosmology) #Material Science and Thermodynamics #Scalar (mathematics) #Scalar field #Scale (ratio) #Scale factor (cosmology) #Term (time) #gr-qc
paper · pdf · doi:10.1134/s0202289317040090
9 pages; Extended talk given at the Ulyanovsk International School-Seminar "Problems of theoretical and observation cosmology - UISS 2016", September 19-30, 2016, Ulyanovsk, Russia; submitted to Gravitation and Cosmology
arxiv created 2017/04/12 · openalex created_date 2017/04/28 · openalex publication_date 2017/10/01 · arxiv updated 2017/12/06 · openalex updated_date 2026/08/05
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.