The Cosmology of an Infinite Dimensional Universe
  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 $N\rightarrow\infty$ limit we find novel, emergent behaviour which distinguishes it from normal Kaluza-Klein universes. 
David Sloan and Pedro Ferreira
gr-qc astro-ph.CO hep-th