Perturbative degrees of freedom in loop quantum gravity: Anisotropies

Martin Bojowald, Héctor H. Hernández, Hugo A.Morales Técotl

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

The relation between an isotropic model and an anisotropic model in loop quantum cosmology is discussed in detail, comparing the strict symmetry reduction with a perturbative implementation of symmetry. While the latter cannot be done in a canonical manner, it allows one to consider the dynamics including the role of small non-symmetric degrees of freedom for the symmetric evolution. This serves as a model for the general situation of perturbative degrees of freedom in a background-independent quantization such as loop quantum gravity, and for the more complicated addition of perturbative inhomogeneities. While being crucial for cosmological phenomenology, it is shown that perturbative non-symmetric degrees of freedom do not allow definitive conclusions for the singularity issue and in such a situation could even lead to wrong claims.

Original languageEnglish (US)
Pages (from-to)3491-3516
Number of pages26
JournalClassical and Quantum Gravity
Volume23
Issue number10
DOIs
StatePublished - May 21 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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