Inflation and New Agegraphic Dark Energy

TL;DR

This paper explores the integration of the new agegraphic dark energy model with inflation, addressing the divergence issue by redefining conformal time, but finds that the necessary adjustments prevent NADE from dominating today.

Contribution

It introduces a modification to the NADE model to include inflation, highlighting the challenges and limitations of this approach.

Findings

Redefining conformal time avoids divergence during inflation.

Large constant shift prevents NADE from dominating at present.

The model's compatibility with inflationary scenarios is limited.

Abstract

In the note, we extend the discussion of the new agegraphic dark energy (NADE) model to include the inflation stage. Usually, in the inflation models, for convenience the conformal time $\eta$ is set to be zero at the end of inflation. This is incompatible with the NADE model since $\eta=0$ indicates the divergence of NADE. To avoid the difficulty, we can redefine the conformal time as $\eta+\delta$. However, we find that the positive constant $\delta$ must be so large that NADE can not become dominated at present time.