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Cosmological consequences of a built-in cosmological constant model

Arbab I. Arbab
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Abstract

We have analyzed the implications of a phenomenological model of a built-in cosmological constant of Rastall and Al-Rawaf -Taha type. We have produced the presently observed cosmic acceleration with the aid of introducing a positive cosmological constant. We have shown that the cosmological models of the type $Λ\propto\frac{\ddot R}{R}, Λ\propto H^2$ or $Λ\propto 8πGρ$ are equivalent to a built-in cosmological constant model of Al-Rawaf and Taha type. Such models are compatible with the recent observational data and do not suffer from fine tuning problems. We predict a higher lensing probability than in Einstein de Sitter and Abdel Rahman models. We also predict a higher value for the luminosity and angular diameter distances than that of Abdel Rahman model. The lens distribution peaks at relatively smaller values of the lens red-shift and occurs at higher red-shift.

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Arbab I. Arbab. 2002-12-30. Cosmological consequences of a built-in cosmological constant model. https://doi.org/10.1088/1475-7516%2F2003%2F05%2F008

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