Semi-Classical Limit and Quantum Corrections in Non-Coincidence Power-Law <i>f</i>(<i>Q</i>)-Cosmology

Abstract

Within the framework of symmetric teleparallel fQ-gravity, using a connection defined in the non-coincidence gauge, we derive the Wheeler–DeWitt equation of quantum cosmology. The gravitational field equation in fQ-gravity permits a minisuperspace description, rendering the Wheeler–DeWitt equation a single inhomogeneous partial differential equation. We use the power-law fQ=f0Qμ model, and with the application of linear quantum observables, we calculate the wave function of the universe. Finally, we investigate the effects of the quantum correction terms in the semi-classical limit.

Keywords

• symmetric teleparallel <i>f(Q)</i>-gravity
• nonmetricity gravity
• Wheeler-DeWitt equation
• exact solutions