I am trying to derive this result:(adsbygoogle = window.adsbygoogle || []).push({});

[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?

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

Can you offer guidance or do you also need help?

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