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The stress energy tensor can be broken up into fluid (f)
and seed (s) contributions (see e.g. ).
The latter is distinguished by the fact
that the net effect can be viewed as a perturbation to the
background. Specifically where
,and is given by the fluid alone. The fluctuations can be
decomposed into the normal modes of §IIC as
for the scalar components,
for the vector components, and
for the tensor components.