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Main Authors: Fabris, Júlio C., Guimarães, Luiz Filipe, Pinto-Neto, Nelson, Daouda, Mahamadou Hamani
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.11955
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author Fabris, Júlio C.
Guimarães, Luiz Filipe
Pinto-Neto, Nelson
Daouda, Mahamadou Hamani
author_facet Fabris, Júlio C.
Guimarães, Luiz Filipe
Pinto-Neto, Nelson
Daouda, Mahamadou Hamani
contents The quantization of unimodular gravity in minisuperspace leads to a time evolution of states generated by the Hamiltonian, as in usual quantum mechanics. We revisit the analysis made in Ref. \cite{unruh}, extending it to phantom scalar fields. It is argued that only in this case a non-trivial evolution for the scalar field can be obtained. The behavior of the scale factor presents a bounce followed by a de Sitter expansion, reproducing the quantum cosmological scenario in General Relativity when the source is given by a cosmological term described by the Schutz variable. The analysis is extended to the Brans-Dicke scalar tensor theory.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11955
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting Unimodular Quantum Cosmology
Fabris, Júlio C.
Guimarães, Luiz Filipe
Pinto-Neto, Nelson
Daouda, Mahamadou Hamani
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The quantization of unimodular gravity in minisuperspace leads to a time evolution of states generated by the Hamiltonian, as in usual quantum mechanics. We revisit the analysis made in Ref. \cite{unruh}, extending it to phantom scalar fields. It is argued that only in this case a non-trivial evolution for the scalar field can be obtained. The behavior of the scale factor presents a bounce followed by a de Sitter expansion, reproducing the quantum cosmological scenario in General Relativity when the source is given by a cosmological term described by the Schutz variable. The analysis is extended to the Brans-Dicke scalar tensor theory.
title Revisiting Unimodular Quantum Cosmology
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2504.11955