Exact isotropic cosmologies with local fractal number counts
Neil Humphreys, David Matravers, Roy Maartens
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 102 Mpc. We show that Einstein's equations and the matching conditions imply either a nonlinear Hubble law or a very low large-scale density.
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