  The evolution of scale-invariant gravity waves from the early universe is
analyzed using an equation of state which smoothly interpolates between the
radiation dominated era and the present matter dominated era. We find that for
large wavenumbers the standard scale-invarant wavefunction for the gravity wave
severely {\it underestimates\/} the actual size of the gravity wave. Moreover,
there is a definite shift in the {\it phase\/} of the gravity wave as it
crosses the radiation-matter phase transition. The tensor-induced anisotropy of
the cosmic microwave background and the present spectral energy density of the
gravity wave is then calculated using these results.
