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A linearly Expanding Universe With Variable G and Lambda | | Arbab I. Arbab
; | | Date: |
14 Sep 1999 | | Journal: | Spacetime & Substance 1(6) (2001) 39 | | Subject: | gr-qc | | Abstract: | We have studied a cosmological model with a cosmological term of the form $Lambda=3alphafr{dot R^2}{R^2}+tfr{ddot R}{R}+fr{3gamma}{R^2} alpha, t gamma$ are constants. The scale factor (R) is found to vary linearly with time for both radiation and matter dominated epochs. The cosmological constant is found to decrease as $t^{-2}$ and the rate of particle creation is smaller than the Steady State value. The model gives $Omega^Lambda=fr{1}{3}$ and $Omega^m=fr{2}{3}$ in the present era, $Omega^Lambda=Omega^m=fr{1}{2}$ in the radiation era. The present age of the universe $(
m t_p$) is found to be $
m t_p=H_p^{-1}$ , where $
m H_p$ is the Hubble constant. The model is free from the main problems of the Standard Model. Since the scale factor $
m Rpropto t$ during the entire evolution of the universe the ratio of the cosmological constant at the Planck and present time is $
mfr{Lambda_{Pl}}{Lambda_p}=10^{120}$. This decay law justifies why, today, the cosmological constant is exceedingly small. | | Source: | arXiv, gr-qc/9909044 | | Services: | Forum | Review | PDF | Favorites | |
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