Luminosity Distance, Angular Size and Surface Brightness in Cosmological General Relativity

Hartnett, John G.; Oliveira, Firmin J.

doi:10.1007/s10701-007-9108-x

Cited by 8 publications

(23 citation statements)

References 7 publications

(15 reference statements)

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“…In practice we use a, a small free parameter, to optimize the fits. In CGR the luminosity distance was found [10] to be slightly different to the expression used in the FRW theory. This fact, results from a relativistic effect on the emission times of the photons from the distant source.…”

Section: Comparison With Observationmentioning

confidence: 80%

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

Hartnett

2007

Found Phys

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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 not truly represent a 'standard candle' as the derived distance modulii 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 ΩK = ΩΛ − Ω = 1 − Ω, where Ω is the matter density of the universe. Hence the total density is always ΩK + Ω = 1.

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Section: Comparison With Observationmentioning

confidence: 80%

“…But we can employ a 'bootstrapping' technique. By substituting the limited redshift solution from (10) into the rhs and assuming the averaged matter density in the universe…”

Section: Extended Redshift Rangementioning

confidence: 99%

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

Hartnett

2007

Found Phys

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“…From this it can be shown [15] that the luminosity L 0 of a source at the present time is related to the luminosity L of an identical source which emitted at time t by…”

Section: Luminosity Distancementioning

confidence: 95%

“…where (5) and (15) have been used. Substituting (9) in (16) produces gravitational effects on the angular size that can be called lensing.…”

Section: Angular Sizementioning

confidence: 99%

Carmeli's Cosmology Fits Data for an Accelerating and Decelerating Universe Without Dark Matter or Dark Energy

Oliveira

Hartnett

2006

Found Phys Lett

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Several key relations are derived for Cosmological General Relativity which are used in standard observational cosmology. These include the luminosity distance, angular size, surface brightness and matter density. These relations are used to fit type Ia supernova (SNe Ia) data, giving consistent, well behaved fits over a broad range of redshift 0.1 < z < 2. The best fit to the data for the local density parameter is Ωm = 0.0401 ± 0.0199. Because Ωm is within the baryonic budget there is no need for any dark matter to account for the SNe Ia redshift luminosity data. From this local density it is determined that the redshift where the universe expansion transitions from deceleration to acceleration is zt = 1.095 +0.264−0.155 . Because the fitted data covers the range of the predicted transition redshift zt, there is no need for any dark energy to account for the expansion rate transition. We conclude that the expansion is now accelerating and that the transition from a closed to an open universe occurred about 8.54 Gyr ago.

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“…This improvement is surprising considering the 11 being outliers which should least impact the robust curve fitting process. None of the models however, return excellent fits with this data as judged by a χ 2 /N-FP of less than 1.35 (Hartnett & Oliveira, 2007). Noteworthy of this data reduction is that the Simple-DE model now presents a better fit than the Analytic-ST, for the reverse is true when all 398 data pairs are (283) and FP the number of free parameters (Kessler et al, 2009).…”

Section: Modeling and Resultsmentioning

confidence: 91%

A Polytropic Solution of the Expanding Universe – Constraining Relativistic and Non-Relativistic Matter Densities Using Astronomical Results

Öztaş¹,

Smith²

2011

Aspects of Today's Cosmology

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Luminosity Distance, Angular Size and Surface Brightness in Cosmological General Relativity

Cited by 8 publications

References 7 publications

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

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

Carmeli's Cosmology Fits Data for an Accelerating and Decelerating Universe Without Dark Matter or Dark Energy

A Polytropic Solution of the Expanding Universe – Constraining Relativistic and Non-Relativistic Matter Densities Using Astronomical Results

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