Non-bouncing solutions in loop quantum cosmology
General Relativity and Quantum Cosmology
2020-07-16 v1
Abstract
According to the Belinskii-Khalatnikov-Lifshitz scenario, a collapsing universe approaching a spacelike singularity can be approximated by homogeneous cosmological dynamics, but only if asymptotically small spatial regions are considered. It is shown here that the relevant small-volume behavior in solvable models of loop quantum cosmology is crucially different from the large-volume behavior exclusively studied so far. While bouncing solutions exist and may even be generic within a given quantum representation, they are not generic if quantization ambiguities such as choices of representations are taken into account. The analysis reveals an interesting interplay between sl(2,R)-representation theory and canonical effective theory.
Cite
@article{arxiv.1906.02231,
title = {Non-bouncing solutions in loop quantum cosmology},
author = {Martin Bojowald},
journal= {arXiv preprint arXiv:1906.02231},
year = {2020}
}
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24 pages