Barrow holographic dark energy with Granda-Oliveros cutoff

Abstract

A study on the effects of implementing the Granda-Oliveros infrared cutoff in the recently introduced Barrow holographic dark energy model is presented, and its cosmological evolution is investigated. We find how the deformation parameter, $\Delta$ , affects the evolution of H(z) and that from this model it is possible to obtain an accelerated expansion regime of the universe at late times. We also observe that increasing $\Delta$ causes a transition of the EoS parameter from quintessence to phantom regimes. In addition, we show that the model can be used to describe the know eras of dominance. Finally, after studying the stability of the proposed model, a fit of the corresponding parameters is preformed, utilizing the measurements of the expansion rate of the universe, H(z). The best fit of the parameters is found to be $(\alpha ,\beta ,\Delta )=\left(1,.,{00}_{-0.02}^{+0.02},,,,0,.,{69}_{-0.02}^{+0.03},,,,0,.,{000}_{-0.000}^{+0.004}\right)$ at $1\sigma$ C.L., for which the Bekenstein-Hawking relation is favored.