Abstract
We study the holographic dark energy (HDE) model in generalized Brans-Dicke scenario with a non-minimal coupling between the scalar field and matter Lagrangian namely Chameleon Brans Dicke (CBD) mechanism. In this study we consider the interacting and non-interacting cases for two different cutoffs. The physical quantities of the model such as, equation of state (EoS) parameter, deceleration parameter and the evolution equation of dimensionless parameter of dark energy are obtained. We shall show that this model can describe the dynamical evolution of fraction parameter of dark energy in all epochs. Also we find the EoS parameter can cross the phantom divide line by suitable choices of parameters without any mines kinetic energy term.
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Notes
Some features of this model is studied in Phys. Lett. B 697, 285 (2011). But the fundamental property of the model is recognized wrong and then the whole results of it are incorrect. We tried to correct the mentioned paper and extended our investigation to other features of the model.
Equation (8) is not recognized correctly in Phys. Lett. B 697, 285 (2011), therefore the results which obtained in their work is not correct.
Some authors have chosen L m =T/4 (here T is the trace of matter stress-energy tensor), and eliminate the Lagrangian, L m , in Eq. (7) According to our definition, this choice is
$$ L_m = -{1\over 4}\rho _t + {3\over 4}p_t. $$(13)But for the case which matter (perfect fluid) has an interaction with other components of the model, the degeneracy is broken (Saaidi 2013). In fact it is shown that the degeneracy definition of ρ t and P t are not equivalent, therefore the motion of perfect fluid is geodesic only for Lagrangian density P t .
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Acknowledgements
The authors would like to thank Ali Aghamohammadi for his useful discussions.
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Saaidi, K., Sheikhahmadi, H., Golanbari, T. et al. On the holographic dark energy in chameleon scalar-tensor cosmology. Astrophys Space Sci 348, 233–240 (2013). https://doi.org/10.1007/s10509-013-1491-5
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DOI: https://doi.org/10.1007/s10509-013-1491-5