Exactly solvable model for cosmological perturbations in dilatonic brane worlds
Abstract
We construct a model where cosmological perturbations are analytically solved based on dilatonic brane worlds. A bulk scalar field has an exponential potential in the bulk and an exponential coupling to the brane tension. The bulk scalar field yields a power-law inflation on the brane. The exact background metric can be found including the back-reaction of the scalar field. Then exact solutions for cosmological perturbations which properly satisfy the junction conditions on the brane are derived. These solutions provide us an interesting model to understand the connection between the behavior of cosmological perturbations on the brane and the geometry of the bulk. Using these solutions, the behavior of an anisotropic stress induced on the inflationary brane by bulk gravitational fields is investigated.
Keywords
Cite
@article{arxiv.hep-th/0307073,
title = {Exactly solvable model for cosmological perturbations in dilatonic brane worlds},
author = {Kazuya Koyama and Keitaro Takahashi},
journal= {arXiv preprint arXiv:hep-th/0307073},
year = {2009}
}
Comments
30 pages, typos corrected, reference added