Coincidence Problem in $f(R)$ Gravity Models

Abstract

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. The scalar field couples with the matter sector and the coupling term is given by the conformal factor. We use this interacting model to derive a necessary condition for alleviating the coincidence problem.

10 pages, 2 figures. To appear in Physical Review D

References in corpus (11)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Disappearing cosmological constant in f(R) gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• Dynamics of dark energy with a coupling to dark matter
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter instability in modified gravity
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Interacting models may be key to solve the cosmic coincidence problem
• Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration