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Type: Journal article
Title: Extending the redshift-distance relation in Cosmological General Relativity to higher redshifts
Author: Hartnett, J.
Citation: Foundations of Physics: an international journal devoted to the conceptual and fundamental theories of modern physics, biophysics, and cosmology, 2008; 38(3):201-215
Publisher: Springer
Issue Date: 2008
ISSN: 0015-9018
Statement of
John G. Hartnett
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.
Keywords: Cosmological General Relativity
High redshift type Ia supernovae
Dark matter
Distance modulus
Rights: © Springer Science+Business Media, LLC 2007
DOI: 10.1007/s10701-007-9198-5
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