Reconstructing f(R) model from Holographic DE: Using the observational evidence

Abstract

We investigate the corresponding relation between $f(R)$ gravity and an interacting holographic dark energy. By obtaining conditions needed for some observational evidence such as, positive acceleration expansion of universe, crossing the phantom divide line and validity of thermodynamics second law in an interacting HDE model and corresponding it with $f(R)$ mode of gravity we find a viable $f(R)$ model which can explain the present universe. We also obtain the explicit evolutionary forms of the corresponding scalar field, potential and scale factor of universe.

11page. phys. Scr (2012)

References in corpus (12)

• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• A Singularity Problem with f(R) Dark Energy
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Toward a solution of the coincidence problem
• A Tracker Solution for a Holographic Dark Energy Model
• Interacting models of soft coincidence
• Transition from quintessence to phantom phase in quintom model
• Thermodynamics second law and $\omega =-1$ crossing(s) in interacting holographic dark energy model
• Holographic Dark Energy and the Universe Expansion Acceleration
• Cosmic Acceleration and Modified Gravity
• Holographic Dark Energy Like in $f(R)$ Gravity
• Equivalence Principle (EP) and Solar System Constraints on $R(1\pm \epsilon \ln (\frac{R}{R_c}))$ model of Gravity

Cited by in corpus (1)

• On the holographic dark energy in chameleon scalar-tensor cosmology