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In the case of swarms of particles, the stress energy tensor can be derived by considering the flow of energy and momentum "carried" by the particles along their worldlines.
Is there a way to interpret the field definition of the stress energy tensor from Wald, p455 E.1.26
[tex]
T_{ab} \propto \frac{\delta S_M}{\delta g^{ab}}[/tex]
Where ##S_M## is the action of the "matter" field.
as being due to the "flow" of momentum? If so, how exactly?
Is there a way to interpret the field definition of the stress energy tensor from Wald, p455 E.1.26
[tex]
T_{ab} \propto \frac{\delta S_M}{\delta g^{ab}}[/tex]
Where ##S_M## is the action of the "matter" field.
as being due to the "flow" of momentum? If so, how exactly?