Abstract:
The standard formulation of general relativity needs to be revised in explaining several re-
cent phenomena observed in the universe. It motivates us to go beyond the standard idea
of gravity. The f (Q) gravity theory is a fascinating modified theory of gravity in which the
non-metricity Q determines the gravitational interaction. The vanishing affine connections
have been utilized only in the application of the modified f (Q) gravity theory to cosmol-
ogy. As a result, researchers were unable to compete with the current understanding of
f (τ) theory earlier. In this work, we investigate a newly suggested approach to deal with
this issue by studying the proposed construction of f (Q) theory utilizing a non-vanishing
affine connection in the spatially flat FLRW space-time. We use a few variables and di-
mensionless parameters to formulate the appropriate equations for the dynamical system
approach. The conservation of the energy-momentum tensor leads to a constraint equation
that establishes a relationship between the dynamical variables. The objective of this study
is to investigate the cosmological models that include the effect of bulk viscosity in the
cosmic fluid using the framework of f (Q) gravity. We used three models of f (Q) under
bulk viscous fluids, revealing the existence of both unstable and stable de-sitter solutions
for rapid expansions at early and late-times. Furthermore, it determines the existence of
unstable points for matter eras in the context of every f (Q) function, so illustrating that the
presence of non-zero affine connections might be responsible for a true sequence of cosmic
eras.
