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arXiv · 1610.03655

Slow-roll approximation in loop quantum cosmology

Joanna Luc·Jakub Mielczarek
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Abstract

The slow-roll approximation is an analytical approach to study dynamical properties of the inflationary universe. In this article, systematic construction of the slow-roll expansion for effective loop quantum cosmology is presented. The analysis is performed up to the fourth order in both slow-roll parameters and the parameter controlling the strength of deviation from the classical case. The expansion is performed for three types of the slow-roll parameters: Hubble slow-roll parameters, Hubble flow parameters and potential slow-roll parameters. An accuracy of the approximation is verified by comparison with the numerical phase space trajectories for the case with a massive potential term. The results obtained in this article may be helpful in the search for the subtle quantum gravitational effects with use of the cosmological data.

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BibTeXRIS

Joanna Luc, Jakub Mielczarek. 2016-10-12. Slow-roll approximation in loop quantum cosmology. https://doi.org/10.1088/1475-7516%2F2017%2F01%2F045

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