Deep connection between f(R) gravity and the interacting dark sector model

Abstract

We examine the conformal equivalence between the $f(R)$ gravity and the interacting dark sector model. We review the well-known result that the conformal transformation physically corresponds to the mass dilation which marks the strength of interaction between dark sectors. Instead of modeling f(R) gravity in the Jordan frame, we construct the $f(R)$ gravity in terms of mass dilation function in the Einstein frame. We find that the condition to keep $f(R)$ gravity consistent with CMB observations ensures the energy flow from dark energy to dark matter in the corresponding interacting model, which meets the requirement to alleviate the coincidence problem in the Einstein framework.

9 pages, 2 figures, revised version, accepted for publication in Phys. Rev. D

References in corpus (30)

• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Large-scale instability in interacting dark energy and dark matter fluids
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Solar System constraints to general f(R) gravity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Dynamics of dark energy with a coupling to dark matter
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Effects of the interaction between dark energy and dark matter on cosmological parameters
• Solar System tests DO rule out 1/R gravity
• Le Chatelier-Braun principle in cosmological physics
• Interacting Dark Energy and Dark Matter: observational Constraints from Cosmological Parameters
• Stability of the curvature perturbation in dark sectors' mutual interacting models
• Signature of the interaction between dark energy and dark matter in galaxy clusters
• Thermodynamical description of the interaction between holographic dark energy and dark matter
• Toward a solution of the coincidence problem
• Matter density perturbations in interacting quintessence models
• The Growth of Structure in Interacting Dark Energy Models
• Testing the interaction between dark energy and dark matter via latest observations
• Observational constraints on the dark energy and dark matter mutual coupling
• Coupled dark matter-dark energy in light of near Universe observations
• The imprint of the interaction between dark sectors in large scale cosmic microwave background anisotropies
• On the large-scale instability in interacting dark energy and dark matter fluids
• Effects of dark sectors' mutual interaction on the growth of structures
• A Field Theory Model for Dark Matter and Dark Energy in Interaction
• Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
• Future CMB cosmological constraints in a dark coupled universe
• Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar Field-Dark Matter Models
• Breaking parameter degeneracy in interacting dark energy models from observations
• Conformal transformation in the scalar-tensor theory applied to the accelerating universe

Cited by in corpus (12)

• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Holographic Dark Energy
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Constraints on interacting dark energy models from Planck 2015 and redshift-space distortion data
• Listening to the sound of dark sector interactions with gravitational wave standard sirens
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Testing $f(R)$ dark energy model with the large scale structure
• Cosmological dynamics of interacting dark energy and dark matter in viable models of f(R) gravity
• Revisiting the matter power spectra in $f(R)$ gravity
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Matter Creation Cosmologies and Accelerated Expansion
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions