Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models

Abstract

We study the equation of state for dark energy and explicitly demonstrate that the future crossings of the phantom divide line $w_{\mathrm{DE}}=-1$ are the generic feature in the existing viable $f(R)$ gravity models. We also explore the future evolution of the cosmological horizon entropy and illustrate that the cosmological horizon entropy oscillates with time due to the oscillatory behavior of the Hubble parameter. The important cosmological consequence is that in the future, the sign of the time derivative of the Hubble parameter changes from negative to positive in these viable $f(R)$ gravity models.

12 pages, 3 figures, accepted for publication in JCAP

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• Solar system constraints on f(T) gravity
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Non violation of energy conditions in wormholes modelling
• Theoretical and observational constraints of viable f(R) theories of gravity
• Holographic f(T)-gravity model with power-law entropy correction
• F(R) gravity's rainbow and its Einstein counterpart
• Reconstruction of $f(T)$-gravity in the absence of matter
• Crossing phantom divide in $f(Q)$ gravity
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Future Oscillations around Phantom Divide in f(R) Gravity
• Gravitational Waves in Viable f(R) Models
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• A new extended quintessence
• Effective Einstein Cosmological Spaces for Non-Minimal Modified Gravity
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• Note on the equation of state of geometric dark-energy in f(R) gravity
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
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• Maximum turnaround radius in $f(R)$ gravity
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Scalar perturbations in cosmological $f(R)$ models: the cosmic screening approach
• Bouncing cosmological models in a functional form of F(R) gravity
• Isotropic universe with almost scale-invariant fourth-order gravity
• Cosmological evolutions in Tsujikawa model of $f(R)$ Gravity
• Future cosmological evolution in $f(R)$ gravity using two equations of state parameters
• Gravitational waves in the extended theory of gravity
• Einstein Spaces Modeling Nonminimal Modified Gravity
• Revisited apparent horizon entropy and GSL in modified gravity
• Globally Stable Dark Energy in $F(R)$ Gravity