A New Model of Agegraphic Dark Energy

Abstract

In this note, we propose a new model of agegraphic dark energy based on the Károlyházy relation, where the time scale is chosen to be the conformal time $\eta$ of the Friedmann-Robertson-Walker (FRW) universe. We find that in the radiation-dominated epoch, the equation-of-state parameter of the new agegraphic dark energy $w_q=-1/3$ whereas ${\Omega }_q=n^2{a}^2$; in the matter-dominated epoch, $w_q=-2/3$ whereas ${\Omega }_q=n^2{a}^2/4$; eventually, the new agegraphic dark energy dominates; in the late time $w_q\to -1$ when $a\to \infty$, and the new agegraphic dark energy mimics a cosmological constant. In every stage, all things are consistent. The confusion in the original agegraphic dark energy model proposed in arXiv:0707.4049 disappears in this new model. Furthermore, ${\Omega }_q\ll 1$ is naturally satisfied in both radiation-dominated and matter-dominated epochs where $a\ll 1$. In addition, we further extend the new agegraphic dark energy model by including the interaction between the new agegraphic dark energy and background matter. In this case, we find that $w_q$ can cross the phantom divide.

8 pages, revtex4; v2: Phys. Lett. B in press; v3: published version

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