Magnetogenesis by non-minimal coupling to gravity in the Starobinsky inflationary model

Abstract

The $R^2$ term in the Starobinsky inflationary model can be regarded as a leading quantum correction to the gravitational effective action. We assume that parity-preserving and parity-violating (axial) non-minimal couplings between curvature and electromagnetic field are also present in the effective action. In the Einstein frame, they turn into non-trivial couplings of the scalaron and curvature to the electromagnetic field. We make an assessment of inflationary magnetogenesis in this model. In the case of parity-preserving couplings, amplification of magnetic field is negligibly small. In the case of axial couplings, magnetogenesis is hampered by strong back-reaction on the inflationary process, resulting in possible amplification of magnetic field at most by the factor $10^5$ relative to its vacuum fluctuations.

arXiv comment17 pages

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Cited by in corpus (13)

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• Magnetogenesis in Higgs-Starobinsky inflation
• Kinetic approach to the Schwinger effect during inflation
• Primordial Magnetogenesis in a Bouncing Universe
• Schwinger production of scalar particles during and after inflation from the first principles
• Gradient expansion formalism for magnetogenesis in the kinetic coupling model
• Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation
• Cosmological magnetic braking and the formation of high-redshift, super-massive black holes
• Non-minimal Higgs inflation within holographic cosmology
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• On the Non-Minimal Coupling of Magnetic Fields with Gravity in Schwarzschild Spacetime
• Vector dark matter production during inflation in the gradient-expansion formalism