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

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

Manabendra Sharma
(
- Mahidol U. and
- IUCAA, Pune
)
,
Gustavo S. Vicente
(
- Rio de Janeiro State U.
)
,
Leila L. Graef
(
- Niteroi, Fluminense U.
)
,
Rudnei O. Ramos
(
- Rio de Janeiro State U.
)
,
Anzhong Wang
(
- Baylor U.
)

Sep 3, 2023

15 pages

Published in:

Phys.Rev.D 111 (2025) 4, 043501

Published: Feb 3, 2025

e-Print:

2309.01080 [gr-qc]

DOI:

10.1103/PhysRevD.111.043501 (publication),
10.1103/physrevd.111.043501

View in:

ADS Abstract Service

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Abstract: (APS)

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.

Note:

15 pages, 4 figures, Replaced with the version matching the one published in the Physical Review D

effect: quantum
algebra: Lie
quantum gravity: loop space
space-time: Bianchi: Type I
Brans-Dicke model
singularity: regularization
phase space
nonlinear
resolution
Yang-Mills

References(88)

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