Exact isotropic cosmologies with local fractal number counts
General Relativity and Quantum Cosmology
2009-10-31 v2
Abstract
We construct an exact relativistic cosmology in which an inhomogeneous but isotropic local region has fractal number counts and matches to a homogeneous background at a scale of the order of Mpc. We show that Einstein's equations and the matching conditions imply either a nonlinear Hubble law or a very low large-scale density.
Keywords
Cite
@article{arxiv.gr-qc/9804025,
title = {Exact isotropic cosmologies with local fractal number counts},
author = {Neil Humphreys and David Matravers and Roy Maartens},
journal= {arXiv preprint arXiv:gr-qc/9804025},
year = {2009}
}
Comments
revised version, to appear Class. Q. Grav.; minor corrections following eqn 16, additional comments on relation to other work, some new references