Chaotic Inflation Models & Equations

  1. When using the Friedmann equation (flat space, no cosmological constant): H = sqrt (8 pi G / 3 ) * rho, if we use rho in mass/volume, H is in (time)^-1 like it should. Now for some inflation models, we use: H = sqrt (8 pi G / 3 ) * V(Phi). It seems that V(Phi) should also be able to be converted to mass/volume.

    In chaotic inflation models, the function V(Phi) = ½ m^2 Phi^2 is often used. I know “natural units” are employed in these theories, but I was wondering if there is a way to convert V(Phi) = ½ m^2 Phi^2 into units of mass/volume?
     
  2. jcsd
  3. Chronos

    Chronos 9,950
    Science Advisor
    Gold Member

    Inability to ascribe accurate values for mass/volume is the usual reason this calculation is not attempted very often. We can derive a rough estimate for mass density in the universe, but is highly model dependent. Working backwards from such estimates has been the usual approach, AFAIK.
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?