Anisotropic cosmological solutions to the $Y(R)F^2$ gravity

Abstract

We investigate anisotropic cosmological solutions of the theory with non-minimal couplings between electromagnetic fields and gravity in $Y(R)F^2$ form. After we derive the field equations by the variational principle, we look for spatially flat cosmological solutions with magnetic fields or electric fields. Then we give exact anisotropic solutions by assuming the hyperbolic expansion functions. We observe that the solutions approach to the isotropic case in late-times.

16 pages, 5 figures

References in corpus (26)

• Planck 2015 results. XIII. Cosmological parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A 2.4% Determination of the Local Value of the Hubble Constant
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Observational Probes of Cosmic Acceleration
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Quintessence: A Review
• Gravitational Lensing Analysis of the Kilo Degree Survey
• Dark matter production in the early Universe: beyond the thermal WIMP paradigm
• CMB Anomalies after Planck
• The first and second data releases of the Kilo-Degree Survey
• 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
• Dark energy as a massive vector field
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
• Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ Gravity
• Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions
• Anisotropic inflation with a non-minimally coupled electromagnetic field to gravity
• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity

Cited by in corpus (3)

• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism