The cosmological perturbation theory in loop cosmology with holonomy corrections

Details The cosmological perturbation theory in loop cosmology with holonomy corrections The cosmological perturbation theory in loop cosmology with holonomy corrections

2010-01-08

arxiv.org/abs/1001.1227v5

JCAP 1005:026,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages,typos corrected, reference added, version published in JCAP

Scientific paper

10.1088/1475-7516/2010/05/026

In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the Hamiltonian derivation, the cosmological perturbation equations is obtained in longitudinal gauge. It turns out that in the presence of metric perturbation the holonomy effects influence both background and perturbations, and contribute the non-trivial terms $S_{h1}$ and $S_{h2}$ in the cosmological perturbation equations.

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