New Agegraphic Dark Energy in Brans-Dicke Theory

Understand

In this paper, we investigate the new agegraphic dark energy model in the framework of Brans-Dicke theory which is a natural extension of the Einstein's general relativity.

• In this framework the form of the new agegraphic dark energy density takes as $\rho_{q} =3n^2 \Phi(t)\eta^{-2}$, where $\eta$ is the conformal age of the universe and $\Phi(t)$ is the Brans-Dicke scalar field representing the inverse of the time-variable Newton's constant.
• We derive the equation of state of the new agegraphic dark energy and the deceleration parameter of the universe in the Brans-Dicke theory.
• It is very interesting to find that in the Brans-Dicke theory the agegraphic dark energy realizes quintom-like behavior, i.e., its equation of state crosses the phantom divide $w=-1$ during the evolution.