Next: Background Evolution
Up: A COMPLETE TREATMENT OF
In this Appendix, we complete the Boltzmann equations of §III.
by giving the Einstein equations for the metric and the matter.
We begin with the background evolution and then proceed to the fluctuations.
It is occasionally convenient to shift between different representations or
gauges and thus we first discuss the transformations that link them.
We then derive and present the Einstein equations for scalar, vector and
tensor perturbations in a universe with constant comoving curvature in the
synchronous and Newtonian gauges (see also ).