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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• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Generalized curvature-matter couplings in modified gravity
• 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
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Inflation from N-Forms and its stability
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
• A Model of Universe Anisotropization
• Cosmological evolution in vector-tensor theories of gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Reconstruction Procedure in Nonlocal Cosmological Models
• Gravitational waves in vector inflation
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Einstein-aether theory with a Maxwell field: General formalism
• Perturbations in electromagnetic dark energy
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Non-Abelian condensates as alternative for dark energy
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• The Slow-Roll and Rapid-Roll Conditions in the Space-like Vector Field Scenario
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Coupled inflaton and electromagnetic fields from Gravitoelectromagnetic Inflation with Lorentz and Feynman gauges
• Gauge Field Theory Vacuum and Cosmological Inflation without Scalar Field
• Scrutinizing coupled vector dark energy in light of data
• Gauge-Field-Induced Torsion and Cosmic Inflation
• Cosmological Issues in $F(T)$ Gravity Theory
• Cosmological application of the Maxwell gravity
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity
• Non-minimal Einstein-Yang-Mills-dilaton theory