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Particle vs energy frames

  1. Feb 7, 2012 #1
    Hello.

    Is there a way, as for the energy frame, to get the particle frame 4-velocity of a fluid from its energy-momentum tensor?
     
  2. jcsd
  3. Feb 7, 2012 #2

    Bill_K

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    Well, you could look for a timelike eigenvector.
     
  4. Feb 7, 2012 #3
    Could you explain why?
     
  5. Feb 7, 2012 #4

    Bill_K

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    Quoting Wikipedia: "For a fluid in thermodynamic equilibrium, the stress-energy tensor takes on a particularly simple form
    Tαβ = (ρ + p/c2)uαuβ + p gαβ where uα is the fluid's four-velocity."

    And clearly uα is an eigenvector.
     
  6. Feb 7, 2012 #5
    Ok, but for a fluid out of equillibrium?
     
  7. Feb 7, 2012 #6

    Bill_K

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    Sorry, I misunderstood. In that case I don't know the answer. Maybe you need to be given more information than just the stress-energy tensor.
     
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