Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy

Abstract

In this paper we show that power-law inflation can be realized in non-minimal gravitational coupling of electromagnetic field with a general function of Gauss-Bonnet invariant. Such a non-minimal coupling may appear due to quantum corrections. We also consider modified Maxwell-$F(G)$ gravity in which non-minimal coupling between electromagnetic field and $f(G)$ occur in the framework of modified Gauss-Bonnet gravity. It is shown that inflationary cosmology and late-time accelerated expansion of the universe are possible in such a theory.

10 pages, no figure

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• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Attractors, Statefinders and Observational Measurement for Chameleonic Brans--Dicke Cosmology
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity