Perturbative degrees of freedom in loop quantum gravity: Anisotropies

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

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


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
Issue number10
StatePublished - May 21 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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