Holographic Dark Energy Like in $f(R)$ Gravity

Abstract

We investigate the corresponding relation between $f(R)$ gravity and holographic dark energy. We introduce a kind of energy density from $f(R)$ which has role of the same as holographic dark energy. We obtain the differential equation that specify the evolution of the introduced energy density parameter based on varying gravitational constant. We find out a relation for the equation of state parameter to low redshifts which containing varying $G$ correction.

10 pages

References in corpus (7)

• Dynamics of dark energy
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• A Tracker Solution for a Holographic Dark Energy Model
• Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis
• Holographic hessence models
• Cosmic coincidence problem and variable constants of physics
• Cosmic Acceleration and Modified Gravity

Cited by in corpus (6)

• Ghost dark energy in $f(R)$ model of gravity
• Anisotropy effects on Baryogenesis in $f(R)$-Theories of Gravity
• Modified gravity in a viscous and non-isotropic background
• Resembling holographic dark energy with f(R)gravity as scalar field and ghost dark energy with tachyon scalar fields
• Reconstructing f(R) model from Holographic DE: Using the observational evidence
• The Coincidence Problem in Holographic f(R) Gravity