Cosmological evolution in exponential gravity

Abstract

We explore the cosmological evolution in the exponential gravity $f(R)=R+c_1(1-e^{-c_{2}R})$ ($c_{1,2}=\mathrm{constant}$). We summarize various viability conditions and explicitly demonstrate that the late-time cosmic acceleration following the matter-dominated stage can be realized. We also study the equation of state for dark energy and confirm that the crossing of the phantom divide from the phantom phase to the non-phantom (quintessence) one can occur. Furthermore, we illustrate that the cosmological horizon entropy globally increases with time.

Published version in JCAP

References in corpus (33)

• 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
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• A discriminating probe of gravity at cosmological scales
• Solar System constraints to general f(R) gravity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter instability in modified gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• The dispersion of growth of matter perturbations in f(R) gravity
• Thermodynamics in $F(R)$ gravity with phantom crossing
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Nonlocal gravity and the diffusion equation
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration
• Cosmological dynamics of exponential gravity
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Constraints on a variable dark energy model with recent observations
• Cosmological constraints on the Hu-Sawicki modified gravity scenario
• Background cosmological dynamics in $f(R)$ gravity and observational constraints
• Crossing of Phantom Divide in $F(R)$ Gravity
• Constraining Models of Dark Energy
• Finite-time future singularities in modified gravity

Cited by in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Generalizations of teleparallel gravity and local Lorentz symmetry
• $f(T)$ models with phantom divide line crossing
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Observational Constraints on Exponential Gravity
• Equations of State in the Brans-Dicke cosmology