Variable Modified Newtonian Mechanics I: Single Metric Universe
  A few years ago Baker \cite{baker} proposed a Lema$\hat{i}$tre-Tolman metric
which could vary smoothly between the Schwarzschild metric at small scales and
the Friedmann-Robertson-Walker (FRW) metric at large scales. As it stands, by
implementing the Bona-Stela construction \cite{bona} its predictions are
incompatible with solar system data. We find a metric within the variants of
the same construction, which avoids this problem while introducing a MOND-like
gravitational acceleration which dominates Newtonian gravity for low central
baryoinc densities at early time. This MOND-like acceleration can go some way
to explain the growth rate of the baryonic matter density perturbation and the
enhancement of the higher CMB acoustic peak anisotropies.
