$\phi^2$ as Dark Matter

TL;DR

This paper explores the potential of a $\, ext{phi}^2$ scalar field as dark matter, demonstrating it can replicate standard cosmological predictions and serve as a viable alternative to cold dark matter.

Contribution

It introduces a scalar field model with a $\, ext{phi}^2$ potential that matches $\, ext{Lambda}$CDM predictions and discusses its cosmological viability.

Findings

Scalar field condensates as dark matter candidates.

Model reproduces standard $\, ext{Lambda}$CDM cosmology.

Scalar field dark matter is a promising alternative.

Abstract

In this paper we consider $\phi^2$ scalar field potential as a candidate to dark matter. If it is an ultralight boson particle, it condensates like a Bose-Einstein system at very early times and forms the basic structure of the Universe. Real scalar fields collapse in equilibrium configurations that oscillate in space-time (oscillatons).The cosmological behavior of the field equations are solved using the dynamical system formalism. We use the current cosmological parameters as constraints for the present value of the scalar field. We reproduce the cosmological predictions of the standard $\Lambda$CDM model with this model. Therefore, scalar field dark matter seems to be a good alternative to cold dark matter nature.