Powerlaw and Logarithmic Entropy Corrected Holographic Dark Energy Models in BransDicke Cosmology with GrandaOliveros CutOff
Abstract
In this paper, the cosmological implications of the Power Law Entropy Corrected Holographic Dark Energy (PLECHDE) and the Logarithmic Entropy Corrected Holographic Dark Energy (LECHDE) models in the context of BransDicke (BD) cosmology for both noninteracting and interacting DE and Dark Matter (DM) are studied. As the system infrared cutoff, we choose the recently proposed GrandaOliveros cutoff, which contains a term proportional to the first time derivative of the Hubble parameter and one term proportional to $H^2$, i.e. the Hubble parameter squared. We obtain the expressions of three quantities, i.e. the Equation of State (EoS) parameter $\omega_D$, the deceleration parameter $q$ and the evolutionary form of the energy density parameter $\Omega'_D$ of the PLECHDE and LECHDE models in a nonflat Universe for noninteracting and interacting DE and DM as well. Moreover, we investigate the limiting cases corresponding to: a) absence of entropy corrections; b) Einstein's gravity; and c) concomitantly absence of entropy corrections and Einstein's gravity. Furthermore, we consider the limiting case corresponding to the Ricci scale, which is recovered for some particular values of the parameters characterizing the GrandaOliveros scale. We also study the statefinder diagnostic and the cosmographic parameters for both models considered in this work.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.06264
 Bibcode:
 2015arXiv151006264P
 Keywords:

 Physics  General Physics