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Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies

Martin Bojowald·Hector H. Hernandez·Hugo A Morales-Tecotl
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Abstract

The relation between an isotropic 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 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.

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Martin Bojowald, Hector H. Hernandez, Hugo A Morales-Tecotl. 2005-11-11. Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies. https://doi.org/10.1088/0264-9381%2F23%2F10%2F017

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