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

  title={Field equation of the correlation function of mass-density fluctuations for self-gravitating systems},
  author={Yang Zhang and Qing Chen},
  journal={Astronomy and Astrophysics},
  • Yang Zhang, Q. Chen
  • Published 2015
  • Physics
  • Astronomy and Astrophysics
We study the mass density distribution of the Newtonian self-gravitating system. Modeling the system either as a gas in thermal equilibrium, or as a fluid in hydrostatical equilibrium, we obtain the field equation of correlation function $\xi(r)$ of the mass density fluctuation itself. It can apply to the study of galaxy clustering on Universe large scales. The observed $\xi(r)\simeq (r_0/r)^{1.7}$ follows from first principle. The equation tells that $\xi(r)$ depends on the point mass $m$ and… Expand
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