Semi-Classical limit and quantum corrections in noncoincidence power-law $f(Q)$-Cosmology

Fuente: arXiv
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Autore principale: Paliathanasis, Andronikos
Natura: Preprint
Pubblicazione: 2024
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author Paliathanasis, Andronikos
author_facet Paliathanasis, Andronikos
contents Within the framework of symmetric teleparallel $f\left( Q\right) $-gravity for a connection defined in the non-coincidence gauge we derive the Wheeler-DeWitt equation of quantum cosmology. Because the gravitational field equation in $f\left( Q\right) $-gravity admits a minisuperspace description the Wheeler-DeWitt equation is a single inhomogeneous partial differential equations. We assume the power-law $f\left( Q\right) =f_{0}Q^μ$ model and with the application of linear quantum observables we calculate the wavefunction of the universe. Finally, we investigate the effects of the quantum correction terms in the semi-classical limit.
format Preprint
id arxiv_https___arxiv_org_abs_2409_07755
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Semi-Classical limit and quantum corrections in noncoincidence power-law $f(Q)$-Cosmology
Paliathanasis, Andronikos
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Within the framework of symmetric teleparallel $f\left( Q\right) $-gravity for a connection defined in the non-coincidence gauge we derive the Wheeler-DeWitt equation of quantum cosmology. Because the gravitational field equation in $f\left( Q\right) $-gravity admits a minisuperspace description the Wheeler-DeWitt equation is a single inhomogeneous partial differential equations. We assume the power-law $f\left( Q\right) =f_{0}Q^μ$ model and with the application of linear quantum observables we calculate the wavefunction of the universe. Finally, we investigate the effects of the quantum correction terms in the semi-classical limit.
title Semi-Classical limit and quantum corrections in noncoincidence power-law $f(Q)$-Cosmology
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2409.07755