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Homework Help: Perfect fluids and the stress energy tensor

  1. Nov 27, 2012 #1
    1. The problem statement, all variables and given/known data

    "Texbooks that describe perfect fluids are often a little unclear about what is being assumed. It may not be immediately obvious why can't the pressures be different in different directions? Let's examine this. Suppose Tαβ = diag(ρ,(1+ε)P,P,P) . Show that if one performs a rotation around the z axis by an angle phi that the stress energy tensor picks up off diagonal components of order εP."

    What rotation matrix should I be using, it's coordinate dependent isn't it?

    2. Relevant equations

    3. The attempt at a solution
    Last edited by a moderator: Nov 28, 2012
  2. jcsd
  3. Nov 27, 2012 #2


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    Since they say rotation about the z axis by an angle phi, I think you can assume the spatial coordinates are cartesian. Just work with those.
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