Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity

Abstract

We study inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills (YM) theory, in which the YM field couples to a function of the scalar curvature. It is shown that power-law inflation can be realized due to the non-minimal YM field-gravitational coupling which maybe caused by quantum corrections. Moreover, it is demonstrated that both inflation and the late-time accelerated expansion of the universe can be realized in a modified YM-$F(R)$ gravity which is consistent with solar system tests. Furthermore, it is shown that this result can be realized also in a non-minimal vector-$F(R)$ gravity. In addition, we consider the duality of the non-minimal electromagnetic theory and that of the non-minimal YM theory, and also discuss the cosmological reconstruction of the YM theory.

21 pages, no figure, shortened version, accepted in PRD, misprints corrected

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Cited by in corpus (10)

• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Instability of anisotropic cosmological solutions supported by vector fields
• Inflation from N-Forms and its stability
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Cosmological evolution in vector-tensor theories of gravity
• Gravitational waves in vector inflation
• Non-Abelian condensates as alternative for dark energy
• The Slow-Roll and Rapid-Roll Conditions in the Space-like Vector Field Scenario
• Non-minimal Einstein-Yang-Mills-dilaton theory