Field theory of the correlation function of mass density fluctuations for self-gravitating systems

  title={Field theory of the correlation function of mass density fluctuations for self-gravitating systems},
  author={Y. H. Zhang and Qing Yuan Chen and Shucheng Wu},
  journal={Research in Astronomy and Astrophysics},
We study the mass-density distribution of Newtonian self-gravitating systems. Modeling the system as a fluid in hydrostatical equilibrium, we obtain from first principles the field equation and its solution of the correlation function ξ(r) of the mass-density fluctuation itself. We apply this to studies of the large-scale structure of the Universe within a small redshift range. The equation shows that ξ(r) depends on the point mass m and the Jeans wavelength scale λ0, which are different for… Expand
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