Errata
Inflationary Cosmology
1. Equation (4.32)
Equation (4.32) should be
\[
\begin{aligned}
{\dot u}_0 &= 0,\\
{\dot u}_i &= \partial_i \left[A + \left(a H\right)B + B'\right] \\
&= \partial_i \left[\zeta - \left(a H\right) B\right].
\end{aligned}
\]
The last line comes from vanishing anisotropic stress, \(G_{ij}=T_{ij}=0,\quad i\neq j\).
2. Equations (A.65) and (A.72)
Equations (A.65) and (A.72) are missing a factor of two in front of the \((aH)B\) term. Eq. (A.65) should read:
\[
\partial_i \partial_j
\left[
A + 2\left(aH\right)B
+ \frac{\partial B}{\partial \tau} - \zeta
\right]
= 0.
\]
Eq. (A.72) should read:
\[
\partial_i \partial_j
\left[
A + 2\left(aH\right)B
+ \frac{\partial B}{\partial \tau}
\right]
= 0.
\]
These are consistent with Eqs. (A.59) and (A.66).