Inhomogeneity implies accelerated expansion
Abstract
The Einstein equations for an inhomogeneous irrotational dust universe are analyzed. A set of mild assumptions, all of which are shared by the standard FriedmannLemaitreRobertsonWalkertype scenarios, results in a model that depends only on the distribution of scalar spatial curvature. If the shape of this distribution is made to fit the structure of the present Universe, with most of the matter in galaxy clusters and very little in the voids that will eventually dominate the volume, then there is a period of accelerated expansion after cluster formation, even in the absence of a cosmological constant.
 Publication:

Physical Review D
 Pub Date:
 February 2014
 DOI:
 10.1103/PhysRevD.89.043506
 arXiv:
 arXiv:1310.1028
 Bibcode:
 2014PhRvD..89d3506S
 Keywords:

 98.80.Jk;
 98.80.Es;
 Mathematical and relativistic aspects of cosmology;
 Observational cosmology;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 v2: 5 pages (lower number because of different formatting), 1 reference and several clarifying remarks added