Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case

Abstract

A variant of the accelerating cosmology reconstruction program is developed for $f(R)$ gravity and for a modified Yang-Mills/Maxwell theory. Reconstruction schemes in terms of e-foldings and by using an auxiliary scalar field are developed and carefully compared, for the case of $f(R)$ gravity. An example of a model with a transient phantom behavior without real matter is explicitly discussed in both schemes. Further, the two reconstruction schemes are applied to the more physically interesting case of a Yang-Mills/Maxwell theory, again with explicit examples. Detailed comparison of the two schemes of reconstruction is presented also for this theory. It seems to support, as well, physical non-equivalence of the two frames.

16 pages, no figures, version to appear in Phys Rev D

References in corpus (37)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Cosmological reconstruction of realistic modified F(R) gravities
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Matter instability in modified gravity
• A f(R) gravity without cosmological constant
• 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
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Viability of f(R) Theories with Additional Powers of Curvature
• Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Modified gravity as an alternative for Lambda-CDM cosmology
• Interacting dark energy in $f(R)$ gravity
• Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis
• Reconstruction and deceleration-acceleration transitions in modified gravity
• Constraints on f(R) Cosmology in the Palatini Formalism
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Reconstructing f(R) theory according to holographic dark energy
• Gravitational waves and lensing of the metric theory proposed by Sobouti
• Crossing of the w=-1 Barrier in Two-Fluid Viscous Modified Gravity
• Constraining Extended Theories of Gravity using Solar System Tests
• Accelerated expansion in modified gravity with a Yukawa-like term
• Substituting fields within the action: consistency issues and some applications
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Inverse problem: Reconstruction of modified gravity action in Palatini formalism by Supernova Type Ia data

Cited by in corpus (14)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• An Extended Matter Bounce Scenario: current status and challenges
• Reconstruction, Thermodynamics and Stability of $\Lambda$CDM Model in $f(T,\mathcal{T})$ Gravity
• Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field
• Reconstruction Procedure in Nonlocal Cosmological Models
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Cosmological models with Yang-Mills fields
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• Mirror QCD and Cosmological Constant
• Quantum Yang--Mills Dark Energy
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Dynamics of Potentials in Bianchi Type Scalar-Tensor Cosmology
• Gauge-Field-Induced Torsion and Cosmic Inflation
• Cosmology with non-minimally coupled Yang--Mills field