A Cosmological Exact Solution of Complex Jordan-Brans-Dicke Theory and its Phenomenological Implications

TL;DR

This paper presents an exact solution in complex Jordan-Brans-Dicke theory showing a new term in the Friedmann equation, with potential implications for understanding dark energy and cosmological evolution.

Contribution

It introduces a novel exact solution with a complex scalar field, revealing additional terms in the Friedmann equation not previously identified.

Findings

Friedmann equation includes a term proportional to the inverse sixth power of the scale factor

The solution suggests new phenomenological implications for dark energy models

Potential interpretations relate to the mass of the complex scalar field

Abstract

When Brans-Dicke Theory is formulated in terms of the Jordan scalar field \phi, dark energy is related to the mass of this field. We show that if \phi is taken to be a complex scalar field then an exact solution of the vacuum equations shows that Friedmann equation possesses a term, proportional to the inverse sixth power of the scale factor, as well as a constant term. Possible interpretations and phenomenological implications of this result are discussed.