On The Equivalence of the FRW Field Equations and those of Newtonian
  Cosmology
  We present a simple argument to explain why the field equations of the
Friedmann-Robertson-Walker metric are equivalent to those of Newtonian
cosmology. By passing to the infinite limit of a family of conformally rescaled
FRW metrics in suitable coordinates, we reveal Newtonian space and time. The
limiting process preserves the Einstein equations and these may be elucidated
directly from the Newtonian limit up to the determination of the scalar
curvature parameter. Consideration of the conformally invariant scalar field
equation on the FRW spacetime is used to recover the Einstein equations
efficiently from the Newtonian theory. We proceed to examine the limiting
procedure in connection with the Cartan formulation of Newtonian gravity.
