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Several key relations are derived for Cosmological General Relativity whichare used in standard observational cosmology. These include the luminositydistance, angular size, surface brightness and matter density. These relationsare used to fit type Ia supernova (SNe Ia) data, giving consistent, wellbehaved fits over a broad range of redshift $0.1 < z < 2$. The best fit to thedata for the local density parameter is $\Omega_{m} = 0.0401 \pm 0.0199$.Because $\Omega_{m}$ is within the baryonic budget there is no need for anydark matter to account for the SNe Ia redshift luminosity data. From this localdensity it is determined that the redshift where the universe expansiontransitions from deceleration to acceleration is $z_{t}= 1.095{}^{+0.264}_{-0.155}$. Because the fitted data covers the range of thepredicted transition redshift $z_{t}$, there is no need for any dark energy toaccount for the expansion rate transition. We conclude that the expansion isnow accelerating and that the transition from a closed to an open universeoccurred about $8.54 {\rm Gyr}$ ago.Comment: Rewritten, improved and revised the discussion. This is now a  combined paper of the former version and the Addendu

Carmeli's Cosmology Fits Data for an Accelerating and Decelerating Universe Without Dark Matter or Dark Energy