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Quantum Cosmology pp 197–244Cite as

Perturbative Inhomogeneities

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Part of the book series: Lecture Notes in Physics ((LNP,volume 835))

Abstract

An issue of considerable interest for cosmology, and one major testing ground for quantum gravity, is the inclusion of perturbative perturbative!inhomogeneity inhomogeneities around homogeneous models. A successful implementation will allow one to check the stability and robustness of effects such as singularity resolution seen in isotropic settings, but also lead the way to cosmological applications of structure formation. As always in inhomogeneous settings, the daunting anomaly issue has to be faced when corrections from a canonical quantization are included in general relativity. Also the derivation of all quantum back-reaction terms is quite involved, and so no complete formulation of perturbative inhomogeneities yet exists. Nevertheless, several effects can already be seen, shedding light on the quantum space–time structure, and by an analysis of the anomaly issue one is making contact with the full theory when specific forms of consistent corrections are derived.

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  1. Center for Gravitational Physics and Geometry, Pennsylvania State University, 104, Davey Laboratory, University Park, PA, 16802-6300, USA

    Martin Bojowald

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  1. Martin Bojowald
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Bojowald, M. (2011). Perturbative Inhomogeneities. In: Quantum Cosmology. Lecture Notes in Physics, vol 835. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8276-6_10

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  • DOI: https://doi.org/10.1007/978-1-4419-8276-6_10

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