The coincidence problem in $f(R)$ gravity models

Abstract

To explore possibilities of avoiding coincidence problem in $f(R)$ gravity we consider models in Einstein conformal frame which are equivalent to Einstein gravity with a minimally coupled scalar field. As the conformal factor determines the coupling term and hence the interaction between matter and dark energy, the function $f(R)$ can in principle be determined by choosing an appropriate function for the deceleration parameter only. Possible behavior of $f(R)$ to avoid coincidence problem are investigated in two such cases.

19 pages, 9 figures, Accepted for publication in General Relativity and Gravitation. arXiv admin note: substantial text overlap with arXiv:0807.1640 by other authors

References in corpus (74)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Phantom Energy and Cosmic Doomsday
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Dark Energy and the Accelerating Universe
• Essentials of k-essence
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Coupled Quintessence
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Cosmological Tracking Solutions
• Exponential potentials and cosmological scaling solutions
• Kinetically Driven Quintessence
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Cosmology with a Primordial Scaling Field
• Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Cosmological Evolution of a Quintom Model of Dark Energy
• 1/R gravity and Scalar-Tensor Gravity
• Can dark energy evolve to the Phantom?
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Interacting Quintessence
• Structure formation with a self-tuning scalar field
• Are f(R) dark energy models cosmologically viable ?
• Interacting quintessence solution to the coincidence problem
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Solar System constraints to general f(R) gravity
• Hessence: A New View of Quintom Dark Energy
• Dynamics of dark energy with a coupling to dark matter
• Limit to General Relativity in f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Perturbations of the Quintom Models of Dark Energy and the Effects on Observations
• Cosmology with x-matter
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Stability of Cosmological Solution in f(R) Models of Gravity
• Interacting dark energy, holographic principle and coincidence problem
• Spherical symmetry in $f(R)$-gravity
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• B-Inflation
• Solar System experiments do not yet veto modified gravity models
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Two-field Models of Dark Energy with Equation of State Across -1
• A Single Scalar Field Model of Dark Energy with Equation of State Crossing -1
• Scaling Cosmology
• Stationary dark energy with a baryon-dominated era: solving the coincidence problem with a linear coupling
• A New Perspective on Cosmic Coincidence Problems
• Interacting models may be key to solve the cosmic coincidence problem
• Toward a solution of the coincidence problem
• The oscillating dark energy: future singularity and coincidence problem
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Observational constraints on the acceleration of the Universe
• Dark energy transition between quintessence and phantom regimes - an equation of state analysis
• Reconstruction of general scalar-field dark energy models
• Phantom Dark Energy, Cosmic Doomsday, and the Coincidence Problem
• A Machian Model of Dark Energy
• Brane Worlds and the Cosmic Coincidence Problem
• The coincidence problem in linear dark energy models
• Coincidence Problem in $f(R)$ Gravity Models

Cited by in corpus (3)

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• Interacting holographic dark energy models: A general approach