Reconstructing f(R) theory according to holographic dark energy

Abstract

In this paper a connection between the holographic dark energy model and the $f(R)$ theory is established. We treat the $f(R)$ theory as an effective description for the holographic dark energy and reconstruct the function $f(R)$ with the parameter $c>1$, $c=1$ and $c<1$, respectively. We show the distinctive behavior of each cases realized in $f(R)$ theory, especially for the future evolution.

6 pages, 4 figures, accepted for publication in Physics Letters B

References in corpus (8)

• Dynamics of dark energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Reconstructing holographic quintessence
• Holographic tachyon model
• Constraints on holographic dark energy models using the differential ages of passively evolving galaxies

Cited by in corpus (10)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Teleparallel Gravity: From Theory to Cosmology
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Statefinder Diagnosis for Ricci Dark Energy
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Reconstructing Quintom from Ricci Dark Energy
• Reconstructing $f(R)$ Theory from Ricci Dark Energy
• Agegraphic reconstruction of modified $F(R)$ and $F(\mathcal{G})$ gravities
• Ricci Dark Energy in Brans-Dicke theory