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The velocity of the Hubble expansion has been added to General Relativity byMoshe Carmeli and this resulted in new equations of motion for the expandinguniverse. For the first time the observational magnitude-redshift data derivedfrom the high-$z$ supernova teams has been analysed in the framework of theCarmeli theory and the fit to that theory is achieved without the inclusion ofany dark matter. Best fits to the data yield an averaged matter density for theuniverse at the present epoch $\Omega_{m} \approx 0.021$, which falls wellwithin the measured values of the baryonic matter density. And the bestestimate of $\Omega_{\Lambda} + \Omega_{m} \approx 1.021$ at the present epoch.The analysis also clearly distinguishes that the Hubble expansion of theuniverse is speed-limited.Comment: 10 pages, includes 7 figures, revised version, paper accepted in  Found. Phys. Letters 200

foundations of physics

The Distance Modulus Determined from Carmeli’s Cosmology Fits the Accelerating Universe Data of the High-redshift Type Ia Supernovae Without Dark Matter