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Paper   IPM / Physic / 6632
School of Physics
  Title:   A Dynamical Approach to A Self Similar Universe
1.  E. Abdalla
2.  N. Afshordi
3.  K. Khodjaste
4.  R. Mohayaee
  Status:   Published
  Journal: Astronomy & Astrophysics
  No.:  6
  Vol.:  345
  Year:  1999
  Pages:   22-28
  Supported by:  IPM
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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