Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime

Fuente: arXiv
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Auteurs principaux: Sharma, Manabendra, Vicente, Gustavo S., Graef, Leila L., Ramos, Rudnei O., Wang, Anzhong
Format: Preprint
Publié: 2023
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author Sharma, Manabendra
Vicente, Gustavo S.
Graef, Leila L.
Ramos, Rudnei O.
Wang, Anzhong
author_facet Sharma, Manabendra
Vicente, Gustavo S.
Graef, Leila L.
Ramos, Rudnei O.
Wang, Anzhong
contents This paper investigates Bianchi I spacetimes within the Jordan frame of Brans-Dicke theory, incorporating the framework of effective loop quantum gravity. After developing general formulas, we analyze the robustness of classical singularity resolution due to quantum geometric effects using two common quantization schemes. We then compare the resulting physical properties. We find that both schemes replace classical singularities with regular quantum bounces. Notably, in contrast to similar studies based on general relativity, we find that all three directional scale factors of the Bianchi I spacetimes increase and after the quantum bounce they reach values similar to their initial values, leading to a merging with classical spacetimes in both schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2309_01080
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
Sharma, Manabendra
Vicente, Gustavo S.
Graef, Leila L.
Ramos, Rudnei O.
Wang, Anzhong
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
This paper investigates Bianchi I spacetimes within the Jordan frame of Brans-Dicke theory, incorporating the framework of effective loop quantum gravity. After developing general formulas, we analyze the robustness of classical singularity resolution due to quantum geometric effects using two common quantization schemes. We then compare the resulting physical properties. We find that both schemes replace classical singularities with regular quantum bounces. Notably, in contrast to similar studies based on general relativity, we find that all three directional scale factors of the Bianchi I spacetimes increase and after the quantum bounce they reach values similar to their initial values, leading to a merging with classical spacetimes in both schemes.
title Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2309.01080