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wolram

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Authors: John G. Hartnett

Comments: 7 pages, 6 figures

The distance modulus and supernova redshift data, determined by the high-z type Ia supernovae teams, is found to describe a model of the universe that places the Galaxy at the center in a spherically symmetric isotropic gravitational field. The result describes particles moving in both a central potential and an accelerating universe without the need for the inclusion of dark matter. However the sign for the only possible solution, consistent with the observed data, implies a finite bounded white hole. A comparison with the model that ignores the central potential indicates that this model is much more robust and the averaged matter density of the universe $\Omega_{m}$ derived from the analysis is highly significant. From two measured data sets it is determined that the matter density $\Omega_{m} \approx 0.0304$ and the vacuum energy contribution to gravity $\Omega_{\Lambda} \approx 0.9688$, with a total $\Omega_{\Lambda}+ \Omega_{m} \approx 1$ at the present epoch. From the model also an estimate of the effective radius of the universe $R_{*} = 0.67 c\tau$ is derived as well as the Hubble constant in the limit of zero gravity $h = 72.88 \pm 1.30$ km/s/Mpc.