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Exact isotropic cosmologies with local fractal number counts

Neil Humphreys·David Matravers·Roy Maartens
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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 $10^2$ 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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Neil Humphreys, David Matravers, Roy Maartens. 1998-07-30. Exact isotropic cosmologies with local fractal number counts. https://doi.org/10.1088/0264-9381%2F15%2F10%2F010

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