Effect of inhomogeneities on the expansion rate of the universe
Edward W. KolbDepartment of Astronomy and Astrophysics, Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637-1433 USAS. MatarreseDipartimento di Fisica “G. Galilei,” Università di Padova, and INFN, Sezione di Padova, via Marzolo 8, Padova I-35131, ItalyAlessio NotariScuola Normale Superiore, Piazza dei Cavalieri 7, Pisa I-56126 and INFN, Sezione di Pisa, ItalyAntonio RiottoINFN, Sezione di Padova, via Marzolo 8, I-35131, Italy
2005en
ABI
Annotatsiya
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.
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