Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
Abstract
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.
Keywords
Cite
@article{arxiv.2309.01080,
title = {Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime},
author = {Manabendra Sharma and Gustavo S. Vicente and Leila L. Graef and Rudnei O. Ramos and Anzhong Wang},
journal= {arXiv preprint arXiv:2309.01080},
year = {2025}
}
Comments
15 pages, 4 figures, Replaced with the version matching the one published in the Physical Review D