Minisuperspace quantum cosmology in $f(Q)$ gravity
Francesco Bajardi, Salvatore Capozzıello
Abstract
Open-access reader
Francesco Bajardi, Salvatore Capozzıello
Abstract
Open-access reader
$f(Q)$ symmetric-teleparallel gravity is considered in view of Quantum Cosmology. Specifically, we derive cosmological equations for $f(Q)$ models and then investigate the related energy conditions. In the minisuperspace formalism, the point-like $f(Q)$ Hamiltonian is taken into account. In this framework, we obtain and solve the Wheeler-De Witt equation, thus finding the Wave Function of the Universe in different cases. We show that the Hartle Criterion can be applied and classical observable universes occur.
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$f(Q)$ symmetric-teleparallel gravity is considered in view of Quantum Cosmology. Specifically, we derive cosmological equations for $f(Q)$ models and then investigate the related energy conditions. In the minisuperspace formalism, the point-like $f(Q)$ Hamiltonian is taken into account. In this framework, we obtain and solve the Wheeler-De Witt equation, thus finding the Wave Function of the Universe in different cases. We show that the Hartle Criterion can be applied and classical observable universes occur.
Key concepts: Minisuperspace, Quantum cosmology, Wheeler–DeWitt equation, Physics, Cosmology, Hamiltonian (control theory), Wave function, Mathematical physics