Scalar field dark energy with a minimal coupling in a spherically symmetric background

TL;DR

This paper investigates scalar field dark energy models with minimal coupling in spherically symmetric backgrounds, developing a method to evaluate solutions and assessing their compatibility with solar system tests.

Contribution

It introduces a new method for solving nonlinear field equations in dark energy models and identifies models that can or cannot pass solar system constraints.

Findings

A model that easily passes solar system tests.

A model constrained by solar system tests.

Method for evaluating solutions to nonlinear field equations.

Abstract

Dark energy models and modified gravity theories have been actively studied and the behaviors in the solar system have been also carefully investigated in a part of the models. However, the isotropic solutions of the field equations in the simple models of dark energy, e.g. quintessence model without matter coupling, have not been well investigated. One of the reason would be the nonlinearity of the field equations. In this paper, a method to evaluate the solution of the field equations is constructed, and it is shown that there is a model that can easily pass the solar system tests, whereas, there is also a model that is constrained from the solar system tests.