Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies

Bojowald, Martin; Hernandez, Hector H.; Morales-Tecotl, Hugo A.

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Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies

MPS-Authors

Bojowald, Martin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Hernandez, Hector H.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg6_10_017.pdf
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Citation

Bojowald, M., Hernandez, H. H., & Morales-Tecotl, H. A. (2006). Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies. Classical and Quantum Gravity, 23(10), 3491-3516.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4B6C-3

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.