1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Perfect fluids and the stress energy tensor
  1. Stress Energy Tensor (Replies: 1)

Loading...