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Holographic dark energy in the DGP braneworld with Granda-Oliveros cutoff

S. Ghaffari1, M. H. Dehghani1,2,*, and A. Sheykhi1,2,†

  • 1Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • 2Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

  • *mhd@shirazu.ac.ir
  • †asheykhi@shirazu.ac.ir
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Phys. Rev. D 89, 123009 – Published 25 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.123009

Abstract

We consider the holographic dark energy (HDE) model in the framework of the DGP braneworld with Granda-Oliveros infrared (IR) cutoff, L=(αH˙+βH2)−1/2. With this choice for IR cutoff, we are able to derive evolution of the cosmological parameters such as the equation of state and the deceleration parameters, w and q, as the functions of the redshift parameter z. As far as we know, most previous models of HDE presented in the literature, do not give analytically ω=ω(z) and q=q(z). We plot the evolution of these parameters versus z and discuss that the results are compatible with the recent observations. With suitably choosing the parameters, this model can exhibit a transition from deceleration to the acceleration around z≈0.6. Then we suggest a correspondence between the quintessence and tachyon scalar fields and HDE in the framework of the DGP braneworld. This correspondence allows us to reconstruct the evolution of the scalar fields and the scalar potentials. We also investigate the stability of the presented model by calculating the squared sound speed, vs2, whose sign determines the stability of the model. Our study shows that vs2 could be positive provided the parameters of the model are chosen suitably. In particular, for α>1, β>0, and α<1, β<0, we have vs2>0 during the history of the Universe, and so the stable dark-energy-dominated universe can be achieved. This is in contrast to the HDE in standard cosmology, which is unstable against background perturbations and so cannot lead to a stable dark- energy-dominated universe.

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Phys. Rev. D 89, 123009– Published 25 June, 2014
  • Received 20 November 2013

© 2014 American Physical Society

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