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  Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies

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.

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 Creators:
Bojowald, Martin1, Author
Hernandez, Hector H.1, Author
Morales-Tecotl, Hugo A., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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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Language(s): eng - English
 Dates: 2006
 Publication Status: Issued
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 Identifiers: eDoc: 246564
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 (10) Sequence Number: - Start / End Page: 3491 - 3516 Identifier: -