A Dynamical Approach to a Self-similar Universe

Details A Dynamical Approach to a Self-similar Universe A Dynamical Approach to a Self-similar Universe

1998-03-17

arxiv.org/abs/astro-ph/9803187v1

Astron.Astrophys.345:22,1999

Astronomy and Astrophysics

Astrophysics

aasms4-latex, 18 pages, 4 figures in 21 ps-files

Scientific paper

We write a non-relativistic Lagrangian for a hierarchical universe. The equations of motion are solved numerically and the evolution of the fractal dimension is obtained for different initial conditions. We show that our model is homogeneous at the time of the last scattering, but evolves into a self-similar universe with a remarkably constant fractal dimension. We also show that the Hubble law is implied by this model and make an estimate for the age of the universe.

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