Inflation and late-time cosmic acceleration in non-minimal Maxwell-F(R) gravity and the generation of large-scale magnetic fields

By Kazuharu Bamba, Sergei D. Odintsov. 2008

224 citations recorded by the source corpus.

We study inflation and late-time acceleration in the expansion of the universe in non-minimal electromagnetism, in which the electromagnetic field couples to the scalar curvature function. It is shown that power-law inflation can be realized due to the non-minimal gravitational coupling of the electromagnetic field, and that large-scale magnetic fields can be generated due to the breaking of the conformal invariance of the electromagnetic field through its non-minimal gravitational coupling. Furthermore, it is demonstrated that both inflation and the late-time acceleration of the universe can be realized in a modified Maxwell-F(R) gravity which is consistent with solar-system tests and cosmological bounds and free of instabilities. At small curvature typical for the current universe the standard Maxwell theory is recovered. We also consider the classically equivalent form of non-minimal Maxwell-F(R) gravity, and propose the origin of the non-minimal gravitational coupling function based on renormalization-group considerations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/72993340d65d1294cb0acc3d1eb845540c3e9fe7

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Citations in the corpus

Gauge fields and inflation (2012, background): “There are many works on primordial magnetic fields from inflation [55, 56, 57, 58, 59, 60, 61, 62, 63], although there exists no convincing model so far.”
Accelerating Cosmologies with an Anisotropic Equation of State (2007, background): “Couplings of a massless Maxwell vector field have been recently considered in an f(R) model that could feature both the inflation and late-time acceleration of the universe, where the non-minimal coupling of the Maxwell field could then generate large-scale magnetic fields [75].”
Vector field models of inflation and dark energy (2008, background): “Couplings of a massless Maxwell vector field have been recently considered in an f(R) model that could feature both the inflation and late-time acceleration of the universe, where the non-minimal coupling of the Maxwell field could then generate large-scale magnetic fields [56, 70].”
f(R) Theories Of Gravity (2008, background): “There are also attempts to unify early inflation and late time acceleration in modified gravity (Bamba and Odintsov, 2008; Nojiri and Odintsov, 2007d, 2008a,b,c,d).”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “The specific cases of a curvature coupling to dark energy [10], the Maxwell field [11] and an explicit curvature-Yang-Mills coupling [12] was also explored in the context of inflation and of the late-time cosmic acceleration.”
Modified Gravity and Cosmology (2011, background): “There have also been attempts to construct quintessencelike f(R) models which produce both early and late acceleration [974, 976, 977, 975, 82].”