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Separable sequences in Bianchi I loop quantum cosmology

Daniel Cartin·Gaurav Khanna
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Abstract

In this paper, we discuss the properties of one-parameter sequences that arise when solving the Hamiltonian constraint in Bianchi I loop quantum cosmology using a separation of variables method. In particular, we focus on finding an expression for the sequence for all real values of the parameter, and discuss the pre-classicality of this function. We find that the behavior of these preclassical sequences imply time asymmetry on either side of the classical singularity in Bianchi I cosmology.

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Daniel Cartin, Gaurav Khanna. 2005-10-18. Separable sequences in Bianchi I loop quantum cosmology. https://doi.org/10.1103/physrevd.72.084008

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