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Extending the Redshift-Distance Relation in Cosmological General Relativity to Higher Redshifts

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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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  1. School of Physics, University of Western Australia, 35 Stirling Hwy, Crawley, 6009, WA, Australia

    John G. Hartnett

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  1. John G. Hartnett
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Correspondence to John G. Hartnett.

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Hartnett, J.G. Extending the Redshift-Distance Relation in Cosmological General Relativity to Higher Redshifts. Found Phys 38, 201–215 (2008). https://doi.org/10.1007/s10701-007-9198-5

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  • DOI: https://doi.org/10.1007/s10701-007-9198-5

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