Quintessence interacting dark energy from induced matter theory of gravity

TL;DR

This paper explores a 4D quintessence dark energy model derived from induced matter theory, allowing interaction with dark matter, with scalar potential matching known 4D cosmological forms.

Contribution

It demonstrates how a quintessence dark energy scenario with interacting dark matter can be derived from 5D induced matter theory using the Ponce de Leon metric.

Findings

Both dark matter and dark energy densities depend on the extra dimension.

The induced scalar potential matches the algebraic form found in standard 4D cosmology.

Interaction between dark energy and dark matter is feasible in this framework.

Abstract

In the context of the induced matter theory of gravity, we investigate the possibility of deriving a 4D quintessential scenario where an interaction between dark energy and dark matter is allowed, and the dark energy component is modeled by a minimally coupled scalar field. Regarding the Ponce de Leon metric, we found that it is possible to obtain such scenario on which the energy densities of dark matter and dark energy, are both depending of the fifth extra coordinate. We obtain that the 4D induced scalar potential for the quintessence scalar field, has the same algebraic form to the one found by Zimdahl and Pavon in the context of usual 4D cosmology.