Models of \(\boldsymbol{f(Q)}\) Gravity with Electromagnetic Field

There are so many ideas that potentially explain the dark energy phenomenon, current research is focusing on a more in-depth analysis of the potential effects of modified gravity on both local and cosmic scales. In this paper we investigate some cosmic reconstructions in \(f(Q)\) cosmology, where \(Q\) is the nonmetricity corresponding to the evolution background in the Friedmann–Lemaître–Robertson–Walker (FLRW) universe. This allows us to determine how any FLRW cosmology can emerge from a particular \(f(Q)\) theory. We employ the reconstruction technique to generate explicit formulations of the \(f(Q)\) Lagrangian for several types of matter sources like a perfect fluid, a dustlike fluid, stiff fluid and a binary mixture of two fluids. Furthermore, we compute the field equations and the equation of state (EoS) parameter \(\omega\) for two different reconstructed \(f(Q)\) models with variation of the involved constants, which gives a scenario of an accelerating universe, a quintessence region and the cosmological constant. We also observe that the time dependence of \(\omega\) admits cosmic acceleration. These new \(f(Q)\) gravity inspired models may have an impact on gravitational phenomena at other cosmological scales.