Abstract The work reported in this paper demonstrates the cosmology of f(Q) gravity and the reconstruction of various associated parameters with different versions of holographic dark energy with generalized cut-offs, where Q = 6H2. The Universe is considered to be filled with viscous fluid characterized by a viscous pressure Π = −3Hξ, where \(\xi = \xi_0 + \xi_1 H + \xi_2(\dot{H} + H^2)\) and H is the Hubble parameter. Considering the power law form of expansion, we have derived the expression of f(Q) under a non-viscous holographic framework and it is then extended to viscous cosmological settings with extended generalized holographic Ricci dark energy. The forms of f(Q) for both the cases are found to be monotonically increasing functions of Q. In the viscous holographic framework, f(Q) is reconstructed as a function of cosmic time t and is found to stay at a positive level with Nojiri-Odintsov cut-off. In these cosmological settings, the slow roll parameters are computed and a scope of exit from inflation and quasiexponential expansion are found to be available. Finally, it is observed that warm inflationary expansion can be obtained from this model.

Keywords Holographic dark energy — Ricci dark energy — f(Q) gravity — bulk-viscosity — equation of state parameter — slow roll parameter

https://doi.org/10.1088/1674-4527/21/12/317