Exact Inflation in Einstein-Gauss-Bonnet Gravity

Abstract

We study cosmological inflation in the Einstein gravity model, where additionally the Gauss-Bonnet term non-minimally coupled to a scalar field is included. We prove that inflationary solutions of exponential and power-law types are allowable and we found few examples of them. We also proposed the method of the exact inflationary solutions construction for a single scalar field with given scale factor and Gauss-Bonnet coupling term in the spatially flat Friedmann-Robertson-Walker Universe on the basis of connection with standard inflation and using special anzatses. With one special anzats we presented the system of equations in the form which allowed generation of exact solutions (at least in quadratures) of wide class by setting the scale factor.

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

References in corpus (5)

• The Standard Model Higgs boson as the inflaton
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Anisotropic inflation in Gauss-Bonnet gravity
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling

Cited by in corpus (10)

• Inflation driven by Einstein-Gauss-Bonnet gravity
• Gauss-Bonnet term corrections in scalar field cosmology
• Reconstruction of GR cosmological solutions in modified gravity theories
• Superpotential method for chiral cosmological models connected with modified gravity
• Autonomous Dynamical System of Einstein-Gauss-Bonnet Cosmologies
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Generalized scalar-tensor theory of gravity reconstruction from physical potentials of a scalar field
• The scalar-torsion gravity corrections in the first-order inflationary models
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Avoiding Big Rip Singularities in Phantom Scalar Field theory with Gauss-Bonnet term