Next: Tensor Einstein Equations
Up: Evolution Equations
Previous: Scalar Einstein Equations
The vector metric source evolution is similarly constructed from
a ``Poisson'' equation
and the momentum conservation equation for
the stress-energy tensor or Euler equation
where recall is the sound speed.
Again, the first of these equations remains true for each fluid
individually save for momentum exchange terms.
For the photons and
.Thus with the photon Euler equation
(60) (with , m=1),
the full baryon equation becomes
see Eqn. (67) for details.