Abstract
In this work, we have discussed a spatially homogeneous and anisotropic Bianchi type-I space–time in the presence of Barrow holographic dark energy (infrared cut-off is the Hubble’s horizon) proposed by Barrow recently [J. D. Barrow, Phys. Lett. B 808, 135643 (2020).] and matter in the framework of [Formula: see text] gravity where the nonmetricity [Formula: see text] is responsible for the gravitational interaction for the specific choice of [Formula: see text] (where [Formula: see text] is a constant). To find the exact solutions to the field equations, we consider the deceleration parameter [Formula: see text], which is a function of the Hubble’s parameter [Formula: see text] i.e. [Formula: see text] (where [Formula: see text] and [Formula: see text] are constants). We have studied the physical behavior of important cosmological parameters such as the EoS parameter, BHDE and matter density, skewness parameter, squared sound speed and [Formula: see text] plane. Also, we constrain the values of the model parameters [Formula: see text] and [Formula: see text] using 57 Hubble’s parameter measurements.
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