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Homothetic vector fields?

  1. Jul 3, 2008 #1
    can anyone please give me an example of how to calculate the homothetic vector field of
    say

    a Bianchi Type I exact solution of the Einstein field equation

    (refer to dynamical systems in cosmology by Wainwright and Ellis chapter 9)


    note : I know already how to calculate the killing vector field of a homogeneous, isotropic line element
     
  2. jcsd
  3. Jul 8, 2008 #2
    Don't you have to take the given metric, write explicitly the defining differential equations for a homotetic vector field and try to solve these? Is there another way?
     
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