Extending the Redshift-Distance Relation in Cosmological General Relativity to Higher Redshifts |
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Authors: | John G Hartnett |
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Institution: | (1) School of Physics, University of Western Australia, 35 Stirling Hwy, Crawley, 6009, WA, Australia |
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Abstract: | 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 truly represent a ‘standard candle’ as the derived distance moduli 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 Ω
K
=ΩΛ−Ω=1−Ω, where Ω is the matter density of the universe. Hence the total density is always Ω
K
+Ω=1. |
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Keywords: | Cosmological General Relativity High redshift type Ia supernovae Gamma-ray burst Dark matter Distance modulus |
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