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Phys. Rev. D 72, 084008 (2005) [6 pages]

Separable sequences in Bianchi I loop quantum cosmology

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Daniel Cartin*
Naval Academy Preparatory School, 197 Elliot Street, Newport, Rhode Island 02841, USA

Gaurav Khanna
Physics Department, University of Massachusetts at Dartmouth, North Dartmouth, Massachusetts 02747, USA

Received 17 June 2005; published 12 October 2005

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 preclassicality 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.084008
DOI:
10.1103/PhysRevD.72.084008
PACS:
04.60.Pp, 04.60.Kz, 98.80.Qc

*Electronic address: cartin@naps.edu

Electronic address: gkhanna@UMassD.Edu