Stress-energy tensor for a rotating object

[stevebd1]

I'm currently looking at stress-energy tensors and while I understand that T₀₀ is density and T₁₁, T₂₂ and T₃₃ are pressure, where does angular momentum fit in this? I'm assuming the quantities T₂₁, T₃₁ and T₃₂ might have something to do with this. For example, how would you incorporate the rotational kinetic energy of a neutron star with a frequency of 1000 Hz? $(E_k=1/2\cdot 0.4mr^2\cdot (f\pi2)^2)$ Also, when might the shear stress quantities, T₁₂, T₁₃ and T₂₃ apply? Cheers.

Steve

 

[Mentz114]

I think angular momentum is in the T_0k terms. This represents an energy flow, which clearly exists in a rotating object.