Domain wall solution in $F(R)$ gravity and variation of the fine structure constant

Abstract

We construct a domain wall solution in $F(R)$ gravity. We reconstruct a static domain wall solution in a scalar field theory. We also reconstruct an explicit $F(R)$ gravity model in which a static domain wall solution can be realized. Moreover, we show that there could exist an effective (gravitational) domain wall in the framework of $F(R)$ gravity. In addition, it is demonstrated that a logarithmic non-minimal gravitational coupling of the electromagnetic theory in $F(R)$ gravity may produce time-variation of the fine structure constant which may increase with decrease of the curvature, and that this model would be ruled out by the constraints on the time variation of the fine structure constant from quasar absorption lines. We also present cosmological consequences of the coupling of the electromagnetic field to a scalar field as well as the scalar curvature and discuss the relation between variation of the fine structure constant and the breaking of the conformal invariance of the electromagnetic field.

31 pages, 5 figures, version accepted for publication in Physical Review D

References in corpus (19)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Energy
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• 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
• Large-scale magnetic fields in the inflationary universe
• Cosmological evolution in exponential gravity
• On the way from matter-dominated era to dark energy universe
• The Wall of Fundamental Constants
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• The interrelation between the generation of large-scale electric fields and that of large-scale magnetic fields during inflation
• Cosmological magnetic field survival
• Runaway Domain Wall and Space-time Varying alpha

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