Probing the cosmology of f(Q,T) gravity with holographic background fluid

Abstract

In this work, we have investigated the cosmology of holographic origin within modified [Formula: see text] gravity framework by employing different forms of the scale factor viz. power law, intermediate, emergent, and logamediate forms. The reconstruction of [Formula: see text] gravity is done by assuming the generalized Holographic Dark Energy as the background fluid where the IR cut-off is considered [Formula: see text]. We consider two cosmological models corresponding to the intermediate and emergent scale factors. By choosing a linear combination of Q and T in each case, we analyze the equation of state (EoS) parameter. Considering the intermediate and logamediate scale factors, the reconstruction of [Formula: see text] gravity is achieved using the holographic fluid as background fluid without any functional form assumption for f. In some cases, it is observed that the EoS parameter could cross phantom boundary in later stages and thus indicate the possibility of avoidance of big rip.