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Derivation of Stress-Energy (Energy-Momentum) Tensor for Perfect Fluid

  1. May 6, 2013 #1
    I am trying to derive this result:

    [itex]T_{αβ} = ( ρ + \frac{p}{c^{2}} ) U_{α} U_{β} - p g_{αβ}[/itex]

    The energy-momentum (stress-energy) tensor for a perfect fluid.

    I do not know where to start and don't understand some derivations of this result.

    In particular, I don't understand why some derivations on the internet use the concept of relativistic mass and how it relates to density. I think I'm sure that mass is a Lorentz scalar and is invariant.

    Also, how does it play a part in Einstein's equation?
  2. jcsd
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