Effects of anisotropy on interacting ghost dark energy in Brans-Dicke theories

In this work we concentrate on the ghost dark energy model within the framework of the Brans-Dicke theory in an anisotropic Universe. Within this framework we discuss the behavior of equation of state, deceleration and dark energy density parameters of the model. We consider the squared sound speed and quest for signs of stability of the model. We also probe observational constraints by using the latest observational data on the ghost dark energy models as the unification of dark matter and dark energy. In order to do so, we focus on observational determinations of the Hubble expansion rate (namely, the expansion history) \(H(z)\). Then we evaluate the evolution of the growth of perturbations in the linear regime for both ghost DE and Brans-Dicke theory and compare the results with standard FRW and \(\varLambda\)CDM models. We display the effects of the anisotropy on the evolutionary behavior the ghost DE models where the growth rate is higher in this models. Eventually the growth factor for the \(\varLambda\)CDM Universe will always fall behind the ghost DE models in an anisotropic Universe.