Bouhmadi-Lopez, Mariam, Chen, Pisin and Liu, Yen-Wei (2012), "Scalar perturbations from brane-world inflation with curvature effects", PHYSICAL REVIEW D, 86, 8.
Abstract: We consider a generalization of the Randall-Sundrum single brane-world
scenario (RS2). More precisely, the generalization is described through
curvature corrections, corresponding to a Gauss-Bonnet term in the bulk
and a Hilbert-Einstein term, as well as the strength of the induced
gravity term, on the brane. We are mainly interested in analyzing the
early inflationary era of the brane, which we model within the extreme
slow-roll limit, i.e., under a de Sitter-like brane inflation, where the
inflaton field is confined on the brane. We compute the scalar
perturbations in this model and compare our results with those
previously obtained for the RS2 scenario with and without an induced
gravity term on the brane or a Gauss-Bonnet term in the bulk. The
amplitude of the scalar perturbations is decreased as compared with a
pure RS2 model. In addition, the effect from the Gauss-Bonnet correction
in an induced gravity brane-world model is to decrease the amplitude of
the scalar perturbations, and a similar result is obtained for the
induced gravity effect in a Gauss-Bonnet brane world. In general, in the
high energy limit the amplitude is highly suppressed by the Gauss-Bonnet
effect. Finally, we constrain the model using the latest WMAP7 data.
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