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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- October 2020
- DOI:
- 10.1088/1361-6382/ab9515
- arXiv:
- arXiv:2005.10408
- Bibcode:
- 2020CQGra..37s5007E
- Keywords:
-
- supergravity;
- branes;
- BPS;
- moduli;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 22 pages, 14 figures. Class. Quantum Grav. (2020)