Bianchi I model in terms of nonstandard loop quantum cosmology: Classical dynamics

Piotr Dzierżak and Włodzimierz Piechocki
Phys. Rev. D 80, 124033 – Published 22 December 2009

Abstract

The cosmological singularities of the Bianchi I universe are analyzed in the setting of loop geometry underlying the loop quantum cosmology. We solve the Hamiltonian constraint of the theory and find the Lie algebra of elementary observables. Physical compound observables are defined in terms of elementary ones. Modification of classical theory by holonomy around a loop removes the singularities. However, our model has a free parameter that cannot be determined within our method. Testing the model by the data of observational cosmology may be possible after quantization of our modified classical theory.

  • Received 28 September 2009

DOI:https://doi.org/10.1103/PhysRevD.80.124033

©2009 American Physical Society

Authors & Affiliations

Piotr Dzierżak* and Włodzimierz Piechocki

  • Theoretical Physics Department, Institute for Nuclear Studies Hoża 69, 00-681 Warsaw, Poland

  • *pdzi@fuw.edu.pl
  • piech@fuw.edu.pl

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Issue

Vol. 80, Iss. 12 — 15 December 2009

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