Cosmological 3-Brane Solutions
摘要
We analyze cosmological equations in the brane world scenario with one extra space-like dimension. We demonstrate that the cosmological equations can be reduced to the usual 4D Friedmann type if the bulk energy-momentum tensor is different from zero. We then generalize these equations to the case of a brane of finite thickness. We also demonstrate that when the bulk energy-momentum tensor is different from zero, the extra space-like dimension can be compactified with a single brane and show that the stability of the radius of compactification implies standard cosmology and vice versa. For a brane of finite thickness, we provide a solution such that the 4D Planck scale is related to the fundamental scale by the thickness of the brane. In this case, compactification of the extra dimension is unnecessary.
引用
@article{arxiv.hep-ph/9909481,
title = {Cosmological 3-Brane Solutions},
author = {P. Kanti and I. I. Kogan and K. A. Olive and M. Pospelov},
journal= {arXiv preprint arXiv:hep-ph/9909481},
year = {2009}
}
备注
14 pages, Latex file, no figures, typos corrected, comments and references added, version to appear in Physics Letters B