Numerics of Bianchi type II and type IX spacetimes in effective loop quantum cosmology

We numerically determine the effective loop quantum cosmology (LQC) dynamics for the vacuum Bianchi type II and type IX spacetimes, in particular studying how the Kasner exponents evolve across the LQC bounce. We find that when the spatial curvature is negligible at the bounce then the Kasner expone...

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Bibliographic Details
Published in:Classical and quantum gravity 2023-11, Vol.40 (21), p.215010
Main Authors: Blackmore, Timothy, Wilson-Ewing, Edward
Format: Article
Language:English
Subjects:
Bianchi spacetimes
Kasner transitions
loop quantum cosmology
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Summary:We numerically determine the effective loop quantum cosmology (LQC) dynamics for the vacuum Bianchi type II and type IX spacetimes, in particular studying how the Kasner exponents evolve across the LQC bounce. We find that when the spatial curvature is negligible at the bounce then the Kasner exponents transform according to the same simple equation as for a Bianchi type I spacetime in effective LQC, while there are departures from this transformation rule in cases where the spatial curvature is significant during the bounce. We also use high-precision numerics to compute the evolution of a Bianchi type IX spacetime through multiple bounces and recollapses, and find indications of chaotic behavior. Interestingly, the numerics indicate that it is during the classical recollapse, and not the LQC bounce, that nearby solutions diverge most strongly.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/acfd7c