Homogeneous loop quantum cosmology: The role of the spin connection

Martin Bojowald, Ghanashyam Date, Kevin Vandersloot

Research output: Contribution to journalArticlepeer-review

84 Scopus citations

Abstract

Homogeneous cosmological models with non-vanishing intrinsic curvature require a special treatment when they are quantized with loop quantum cosmological methods. Guidance from the full theory which is lost in this context can be replaced by two criteria for an acceptable quantization, admissibility of a continuum approximation and local stability. A quantization of the corresponding Hamiltonian constraints is presented and shown to lead to a locally stable, non-singular evolution compatible with almost classical behaviour at large volume. As an application, the Bianchi IX model and its modified behaviour close to its classical singularity is explored.

Original languageEnglish (US)
Pages (from-to)1253-1278
Number of pages26
JournalClassical and Quantum Gravity
Volume21
Issue number4
DOIs
StatePublished - Feb 21 2004

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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