Generalized Barrow entropic holographic dark energy with Granda–Oliver cut-off

Abstract

Holographic dark energy (HDE) models are significantly different from standard dark energy (DE) models since they are based on holographic principles rather than mentioning a term in Lagrangian. Nojiri et al. [Barrow entropic dark energy: A member of generalized holographic dark energy family, Phys. Lett. B 825 (2022) 136844] proposed a generalized Barrow HDE (BHDE) model depending on particle horizon and future horizon, where the infra-red cut-off is considered as a usual cut-off. In this paper, we have revisited the generalized BHDE adopting the Granda–Oliver cut-off as the standard cut-off for the model. We have generalized BHDE behaviors with two different cut-offs, future horizon [Formula: see text] and particle horizon [Formula: see text]. The holographic cut-off is extended to depend on [Formula: see text], where a is the scale factor. Using this formalism, we demonstrated that the Barrow entropic DE model is equivalent to the generalized HDE model, where two ways are used to compute the respective holographic cut-off: first, in terms of particle horizon and its derivative, and second, future horizon and its derivative. We use 57 observational data points to determine the current Hubble constant [Formula: see text]. We have studied the behavior of few quantities, such as DE density [Formula: see text], pressure [Formula: see text], equation of state (EoS) parameter under the observational data. Here, we have to find the EoS parameter for generalized HDE, equivalent to Barrow entropic DE model. Besides this, we have also discussed k-essence and tachyon DE models.