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.

22 pages, 14 figures. Class. Quantum Grav. (2020)

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Cited by in corpus (4)

• Interpreting the Cosmic History of the Universe Through Five-Dimensional Supergravity
• The Implications of N = 2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold
• The Cosmological Constant Problem and the Extra Dimensions of $\mathcal{N}=2$ $\mathcal{D}=5$ Supergravity
• The Hierarchy Problem and $\mathcal{N}=2$ $\mathcal{D}=5$ Supergravity