Can hyperbolic phase of Brans-Dicke field account for Dark Matter?

TL;DR

This paper proposes that a hyperbolic phase of the Brans-Dicke field can mimic dark matter in cosmological models, providing a potential alternative explanation for dark matter phenomena.

Contribution

It introduces a hyperbolic phase for the Brans-Dicke field that results in a flat vacuum cosmological solution, behaving like dark matter at late times.

Findings

Asymptotic approach of Hubble parameter and scalar field rate to constant values

Hyperbolic phase mimics dark matter behavior in late universe

Provides a new perspective on dark matter within scalar-tensor theories

Abstract

We show that the introduction of a hyperbolic phase for Brans-Dicke (BD) field results in a flat vacuum cosmological solution of Hubble parameter H and fractional rate of change of BD scalar field, F which asymptotically approach constant values. At late stages, hyperbolic phase of BD field behaves like dark matter.