Extending the RedshiftDistance Relation in Cosmological General Relativity to Higher Redshifts
Abstract
The redshiftdistance 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 Gammaray 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 Ω_{Λ}=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 }=Ω_{Λ}Ω=1Ω, where Ω is the matter density of the universe. Hence the total density is always Ω_{ K }+Ω=1.
 Publication:

Foundations of Physics
 Pub Date:
 March 2008
 DOI:
 10.1007/s1070100791985
 arXiv:
 arXiv:0705.3097
 Bibcode:
 2008FoPh...38..201H
 Keywords:

 Cosmological General Relativity;
 High redshift type Ia supernovae;
 Gammaray burst;
 Dark matter;
 Distance modulus;
 Physics  General Physics
 EPrint:
 Improved version, edited text, 19 pages, 6 figures. Accepted for publication in Found. of Physics