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

TL;DR

This paper explores how non-minimal couplings between electromagnetic fields and Gauss-Bonnet invariants can produce inflation and dark energy phenomena in cosmology, potentially arising from quantum corrections.

Contribution

It introduces a novel framework combining Maxwell fields with Gauss-Bonnet gravity to explain inflation and late-time acceleration.

Findings

Power-law inflation achieved through non-minimal coupling.

Late-time accelerated expansion possible in the model.

Quantum corrections may induce the non-minimal coupling.

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.