The Cosmology of an Infinite Dimensional Universe

Abstract

We consider a universe with an arbitrary number of extra dimensions, $N$. We present a new method for constructing the cosmological equations of motion and find analytic solutions with an explicit dependence on $N$. When we take the $N\to \infty$ limit we find novel, emergent behaviour which distinguishes it from normal Kaluza-Klein universes.

10 pages, significant revisions from previous version

References in corpus (1)

• Fixed points of quantum gravity in extra dimensions

Cited by in corpus (5)

• The Large D Limit of Einstein's Equations
• Emergent Dark Energy from Dark Matter
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• A new generic and structurally stable cosmological model without singularity
• Reconstruction of Cosmological Evolution in the Presence of Extra Dimensions