Inflating Intersecting Branes and Remarks on the Hierarchy Problem
Abstract
We generalize solutions of Einstein's equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton's constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. The strength of gravity remains constant on the Planck brane, however.
Cite
@article{arxiv.hep-ph/9909496,
title = {Inflating Intersecting Branes and Remarks on the Hierarchy Problem},
author = {J. Cline and C. Grojean and G. Servant},
journal= {arXiv preprint arXiv:hep-ph/9909496},
year = {2014}
}
Comments
10 pages, LaTeX. v2:Misprint in eq. (23) corrected; citations fixed and clarified relationship of our work to hep-th/9909053 and hep-th/9909076 v3: final version to appear in PLB. Corrected discussion of the time dependance of the 4-D Planck mass on the TeV brane. Some references added to earlier works on warped Kaluza-Klein compactifications