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Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
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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.
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Cited by 2 Pith papers
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Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory
Apparent Jordan–Einstein inequivalence after relational deparametrization is a clock-sector mismatch; a frame-adapted canonical chart restores identical reduced Hamiltonians.
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Averaging Dynamics of Scalar Field-Matter Interacting Models in Anisotropic Universes: The Locally Rotationally Symmetric Bianchi I Spacetime
The authors apply averaging methods to classify late-time attractors for nine interacting dark sector models in Bianchi I cosmology, but the general interaction formula does not match the specific models analyzed.
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