2023The European Physical Journal COpen access

Minisuperspace quantum cosmology in f(Q) gravity

Francesco Bajardi, Salvatore Capozzıello

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Abstract

Abstract 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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Abstract 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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Available abstract

Abstract 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, Mathematical physics, Hamiltonian (control theory), Wave function

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