The redshift‐distance modulus relation, the Hubble Diagram, derived from Cosmological General Relativity has been extended to arbitrarily large redshifts. Numerical methods were employed and a density function was found that results in a valid solution of the field equations at all redshifts. The extension has been compared to 302 type Ia supernova data as well as to 69 Gamma‐ray burst data. The latter however do not not truly represent a ‘standard candle’ as the derived distance modulii are not independent of the cosmology used. Nevertheless the analysis shows a good fit can be achieved without the need to assume the existence of dark matter.

The Carmelian theory is also shown to describe a universe that is always spatially flat. This results from the underlying assumption of the energy density of a cosmological constant ΩΛ = 1, the result of vacuum energy. The curvature of the universe is described by a spacevelocity metric where the energy content of the curvature at any epoch is ΩK = ΩΛ−Ω = 1−Ω, where Ω is the matter density of the universe. Hence the total density is always ΩK+Ω = 1.

Topics
Energy content, Doppler effect, General relativity, Hubble's law, Cosmological constant, Dark matter, Gamma ray bursts, Supernovae, Probability theory, Vacuum energy
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© 2008 American Institute of Physics.
2008
American Institute of Physics
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