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A Density waves in gravitational interacting particles

  1. Aug 30, 2016 #1
    My question is about system of infinite number of point like particles with gravitation interaction (classic newtonian interactions).
    If the infinite system can be considered to be in equilibrium, uniform density, in 3D, did anyone analyzed this system with regard to propagation of density waves?
    If so, what is the waves velocity and are they sustainable?

    I read few chapters from Chandrasekhar's books and I tried to search for articles about it.
    one article even stated that this issue was not yet solved in 3d:
    http://www.if.ufrgs.br/~levin/Pdfs.dir/gravity1d.pdf
    (Statistical mechanics of 1D self-gravitating systems: the core–halo distribution)

    I know this issue was investigated very carefully in context of spiral galaxies, but it was not general to infinite configuration.

    I really appreciate any help you can give me
     
  2. jcsd
  3. Aug 30, 2016 #2

    vanhees71

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    2016 Award

    The kinetics of gravitational systems is tricky, because of the long-range nature of the gravitational potential. Usually you find a chapter about the non-relativistic (i.e., non-GR) situation in many cosmology textbooks when it comes to structure formation.
     
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