The Effect of inhomogeneities on the expansion rate of the universe

Sep, 2004
19 pages
Published in:
  • Phys.Rev.D 71 (2005) 023524
e-Print:
Report number:
  • FERMILAB-PUB-04-145-A

Citations per year

2004200920142019202405101520
Abstract: (arXiv)
While the expansion rate of a homogeneous isotropic Universe is simply proportional to the square-root of the energy density, the expansion rate of an inhomogeneous Universe also depends on the nature of the density inhomogeneities. In this paper we calculate to second order in perturbation variables the expansion rate of an inhomogeneous Universe and demonstrate corrections to the evolution of the expansion rate. While we find that the mean correction is small, the variance of the correction on the scale of the Hubble radius is sensitive to the physical significance of the unknown spectrum of density perturbations beyond the Hubble radius.
  • 98.80.Cq
  • space-time: expansion
  • density: perturbation
  • matter: power spectrum
  • numerical calculations