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Foundations of Physics

, Volume 38, Issue 3, pp 201–215 | Cite as

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

  • John G. HartnettEmail author
Article

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 Λ−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 Gamma-ray burst Dark matter Distance modulus 

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References

  1. 1.
    Astier, P., et al.: The supernova legacy survey: Measurement of ΩM, ΩΛ and w from the first year data set. Astron. Astrophys. 447(1), 31–48 (2006) CrossRefADSGoogle Scholar
  2. 2.
    Carmeli, M.: Cosmological Special Relativity. World Scientific, Singapore (2002) zbMATHGoogle Scholar
  3. 3.
    Carmeli, M.: Cosmological Special Relativity, p. 23. World Scientific, Singapore (2002) zbMATHGoogle Scholar
  4. 4.
    Carmeli, M.: Cosmological Relativity. World Scientific, Singapore (2006) Google Scholar
  5. 5.
    Carmeli, M.: Accelerating Universe: Theory versus experiment. arXiv: astro-ph/0205396 (2002) Google Scholar
  6. 6.
    Carmeli, M., Hartnett, J.G., Oliveira, F.J.: The cosmic time in terms of the redshift. Found. Phys. Lett. 19(3), 277–283 (2006), arXiv:gr-qc/0506079 zbMATHCrossRefGoogle Scholar
  7. 7.
    Fukugita, M., Hogan, C.J., Peebles, P.J.E.: The cosmic baryon budget. Astrophys. J. 503, 518–530 (1998) CrossRefADSGoogle Scholar
  8. 8.
    Hartnett, J.G.: The distance modulus determined from Carmeli’s cosmology fits the accelerating universe data of the high-redshift type Ia supernovae without dark matter. Found. Phys. 36(6), 839–861 (2006), arXiv:astro-ph/0501526 zbMATHCrossRefADSGoogle Scholar
  9. 9.
    Hartnett, J.G.: Spiral galaxy rotation curves determined from Carmelian general relativity. Int. J. Theor. Phys. 45(11), 2147–2165 (2006), arXiv:astro-ph/0511756 MathSciNetGoogle Scholar
  10. 10.
    Hartnett, J.G., Oliveira, F.J.: Luminosity distance, angular size and surface brightness in Cosmological General Relativity. Found. Phys. 37(3), 446–454 (2007), arXiv: astro-ph/0603500 zbMATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    Gemelli, G.: Particle production in 5-dimensional Cosmological Relativity. Int. J. Theor. Phys. 45(12), 2261–2269 (2006) CrossRefMathSciNetGoogle Scholar
  12. 12.
    Knop, R.A., et al.: New constraints on ΩM, ΩΛ and w from an independent set of 11 high-redshift supernovae observed with the Hubble Space Telescope. Astrophys. J. 598, 102–137 (2003) CrossRefADSGoogle Scholar
  13. 13.
    Oliveira, F.J., Hartnett, J.G.: Carmeli’s cosmology fits data for an accelerating and decelerating universe without dark matter or dark energy. Found. Phys. Lett. 19(6), 519–535 (2006), arXiv: astro-ph/0603500 zbMATHCrossRefGoogle Scholar
  14. 14.
    Perlmutter, S., et al.: Measurements of the cosmological parameters Ω and Λ from the first seven supernovae at z>0.35. Astrophys. J. 483, 565–581 (1997) CrossRefADSGoogle Scholar
  15. 15.
    Riess, A.G., Filippenko, A.V., Challis, P., Clocchiatti, A., Diercks, A.: Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009–1038 (1998) CrossRefADSGoogle Scholar
  16. 16.
    Riess, A.G., et al.: Type Ia supernovae discoveries at z>1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution. Astrophys. J. 607, 665–687 (2004) CrossRefADSGoogle Scholar
  17. 17.
    Schaefer, B.E.: The Hubble diagram to redshift >6 from 69 Gamma-Ray bursts. Astrophys. J. 660, 16–46 (2007) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.School of PhysicsUniversity of Western AustraliaCrawleyAustralia

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