Brane-Worlds and the Calabi-Yau Complex Structure Moduli
Abstract
In this paper we extend previous work on the relation between the complex structure moduli of the underlying Calabi-Yau manifold in five dimensional supergravity with the time evolution of an embedded 3-brane. We numerically solve the fields' equations for such a construction and focus on dust and radiation filled branes; with the possible application of modeling the universe as a brane-world. It is shown that in both cases the time evolution of the moduli causally connects to the expansion of the brane-world. We also find that in most cases considered there is an early short period of rapid accelerative expansion, indicating an inflationary epoch. We report on these results; leaving analysis of the underlying causes for future work.
Cite
@article{arxiv.2005.10408,
title = {Brane-Worlds and the Calabi-Yau Complex Structure Moduli},
author = {Moataz H. Emam and H. H. Salah and Safinaz Salem},
journal= {arXiv preprint arXiv:2005.10408},
year = {2020}
}
Comments
22 pages, 14 figures. Class. Quantum Grav. (2020)