A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term

Abstract

We study the cosmological model based on Einstein-Gauss-Bonnet gravity with non-minimal coupling of a scalar field to a Gauss-Bonnet term in 4D Friedmann universe. We show how constructing the exact solutions by the method based on a confrontation of the Hubble parameter in the model under consideration with that in a standard scalar field inflationary cosmology.

12 pages, 1 figure

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Cited by in corpus (9)

• 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
• Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
• Exact $(1+3+6)$-dimensional cosmological-type solutions in gravitational model with Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term