Exact isotropic cosmologies with local fractal number counts

Details Exact isotropic cosmologies with local fractal number counts Exact isotropic cosmologies with local fractal number counts

1998-04-08

arxiv.org/abs/gr-qc/9804025v2

Class.Quant.Grav. 15 (1998) 3041-3049

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

revised version, to appear Class. Q. Grav.; minor corrections following eqn 16, additional comments on relation to other work,

Scientific paper

10.1088/0264-9381/15/10/010

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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