Unstable anisotropic loop quantum cosmology

William Nelson and Mairi Sakellariadou
Phys. Rev. D 80, 063521 – Published 18 September 2009

Abstract

We study stability conditions of the full Hamiltonian constraint equation describing the quantum dynamics of the diagonal Bianchi I model in the context of loop quantum cosmology. Our analysis has shown robust evidence of an instability in the explicit implementation of the difference equation, implying important consequences for the correspondence between the full loop quantum gravity theory and loop quantum cosmology. As a result, one may question the choice of the quantization approach, the model of lattice refinement, and/or the role of the ambiguity parameters; all these should, in principle, be dictated by the full loop quantum gravity theory.

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  • Received 23 July 2009

DOI:https://doi.org/10.1103/PhysRevD.80.063521

©2009 American Physical Society

Authors & Affiliations

William Nelson* and Mairi Sakellariadou

  • Department of Physics, King’s College London, Strand WC2R 2LS, London, United Kingdom

  • *William.Nelson@kcl.ac.uk
  • Mairi.Sakellariadou@kcl.ac.uk

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Issue

Vol. 80, Iss. 6 — 15 September 2009

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