  In this paper the four-dimensional space-velocity Cosmological General
Relativity of Carmeli is developed by a general solution to the Einstein field
equations. The metric is given in the Tolman form and the vacuum mass density
is included in the energy-momentum tensor. The scale factor redshift equation
is obtained, forming the basis for deriving the various redshift-distance
relations of cosmological analysis. A linear equation of state dependent on the
scale factor is assumed to account for the effects of an evolving dark energy
in the expansion of the universe. Modeling simulations are provided for a few
combinations of mass density, vacuum density and state parameter values over a
sample of high redshift SNe Ia data. Also, the Carmeli cosmological model is
derived as a special case of the general solution.
