New Agegraphic Dark Energy in $f(R)$ Gravity

TL;DR

This paper explores how new agegraphic dark energy behaves within $f(R)$ gravity, showing it can produce phantom-like states and providing a reconstruction method for the modified gravity model.

Contribution

It introduces a novel application of the new agegraphic dark energy model in $f(R)$ gravity and develops a reconstruction scheme for the modified gravity framework.

Findings

$w_{\Lambda}$ can cross -1 with $n<0$

Phantom-like equation of state is achievable in flat universe

Reconstruction scheme for $f(R)$ gravity is proposed

Abstract

In this paper we study cosmological application of new agegraphic dark energy density in the $f(R)$ gravity framework. We employ the new agegraphic model of dark energy to obtain the equation of state for the new agegraphic energy density in spatially flat universe. Our calculation show, taking $n<0$, it is possible to have $w_{\rm \Lambda}$ crossing -1. This implies that one can generate phantom-like equation of state from a new agegraphic dark energy model in flat universe in the modified gravity cosmology framework. Also we develop a reconstruction scheme for the modified gravity with $f(R)$ action.