Dark energy models with time-dependent gravitational constant

Details Dark energy models with time-dependent gravitational constant Dark energy models with time-dependent gravitational constant

2005-10-19

arxiv.org/abs/astro-ph/0510549v1

Int.J.Mod.Phys.D16:1791-1802,2007

Astronomy and Astrophysics

Astrophysics

Latex, 6 pages

Scientific paper

10.1142/S0218271807011097

Two phenomenological models of $\Lambda$, viz. $\Lambda \sim (\dot a/a)^2$ and $\Lambda \sim \ddot a/a$ are studied under the assumption that $G$ is a time-variable parameter. Both models show that $G$ is inversely proportional to time as suggested earlier by others including Dirac. The models considered here can be matched with observational results by properly tuning the parameters of the models. Our analysis shows that $\Lambda \sim \ddot a/a$ model corresponds to a repulsive situation and hence correlates with the present status of the accelerating Universe. The other model $\Lambda \sim (\dot a/a)^2$ is, in general, attractive in nature. Moreover, it is seen that due to the combined effect of time-variable $\Lambda$ and $G$ the Universe evolved with acceleration as well as deceleration. This later one indicates a Big Crunch.

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