Holonomy corrections in the effective equations for scalar mode perturbations in loop quantum cosmology

We study the dynamics of the scalar modes of linear perturbations around a flat, homogeneous and isotropic background in loop quantum cosmology. The equations of motion include quantum geometry effects and are expected to hold at all curvature scales so long as the wavelengths of the inhomogeneous m...

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Bibliographic Details
Published in:Classical and quantum gravity 2012-04, Vol.29 (8), p.85005-1-085005-15
Main Author: Wilson-Ewing, Edward
Format: Article
Language:English
Subjects:
Cosmology
Dynamics
Equations of motion
Exact sciences and technology
General relativity and gravitation
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Inverse
Mathematical analysis
Perturbation
Physics
Quantum gravity
Scalars
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Summary:We study the dynamics of the scalar modes of linear perturbations around a flat, homogeneous and isotropic background in loop quantum cosmology. The equations of motion include quantum geometry effects and are expected to hold at all curvature scales so long as the wavelengths of the inhomogeneous modes of interest remain larger than the Planck length. These equations are obtained by including holonomy corrections in an effective Hamiltonian and then using the standard variational principle. We show that the effective scalar and diffeomorphism constraints are preserved by the dynamics. We also make some comments regarding potential inverse triad corrections.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/29/8/085005