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.