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A Different equations for the growth factor

  1. Feb 29, 2016 #1
    Hi everyone,

    I am looking for the correct form of the growth factor in large scale structure.
    I have found two different equations which I think are not consistent! Can anyone please tell me why it is like this?

    The first one if from the book "formation of the structure in the universe" Edited by Avishai Dekel. In equation (2.9) it is said:

    \begin{equation}
    D(z) = H \int{\dot{a}^{-2} dt}
    \end{equation}

    in which D(z) is the growth function, a is the scale factor, H is the hubble parameter and t is the time.


    The second one if from the book "principles of physical cosmology" Edited by Peebles. In equation (13.78) it is said:

    \begin{equation}
    D(z) = E \frac{5}{2} \Omega \int{\frac{1+z}{E^3}dz}
    \end{equation}

    in which D(z) is the growth function, z is the redshift, H is the hubble parameter, E = H/H0 and Omega is the matter density parameter.

    Can anyone tell me why are these two different?!
    They for sure give different results for the mass function :(
     
  2. jcsd
  3. Mar 5, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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