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The stress energy tensor can be broken up into fluid (*f*)
contributions
and seed (*s*) contributions (see e.g. [18]).
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

| |
(31) |

for the scalar components,
| |
(32) |

for the vector components, and
| |
(33) |

for the tensor components.

*Wayne Hu*

*9/9/1997*