چکیده
|
We consider the holographic dark energy (HDE) model in the framework of the DGP braneworld with
Granda-Oliveros infrared (IR) cutoff, L ¼ ðαH_ þ βH2Þ−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 ¼ ωðzÞ and q ¼ qðzÞ. 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, v2s
, whose sign determines the stability of the model. Our study shows
that v2s
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 v2s
> 0 during the history of the Universe, and so the stable dark-energydominated
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.
|