solutions have generically no isometries), and which exhibit the generalized (monotone) Kasner time dependence.

Strategy and outline of the paper
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Our approach is the same as in [@AR], and results from that work will be used frequently here without restating the arguments. Here is an outline of the key steps.

A $d + 1$ decomposition is used, for $d$ spatial dimensions, $d = D-1$. A Gaussian time coordinate, $t$, is chosen such that the singularity occurs at $t=0$. The first step in the argument consists of identifying the leading terms for all the variables. This is accomplished by writing down a set of evolution equations which is obtained by truncating the full evolution equations, and then solving this simpler set of evolution equations. This simpler evolution system is called the Kasner-like[^4] evolution system (or, alternatively, the velocity-dominated system). It is a system of ordinary differential equations with respect to time (one at each spatial point) which coincides with the system that arises when investigating metric-dilaton solutions that depend only on time. The precise truncation rules are given in subsection \[stepone\] below. The second step is to write down constraint equations for the Kasner-like system (called “velocity-dominated" constraints) and to 