Solar system tests of scalar field models with an exponential potential

TL;DR

This paper investigates how scalar fields with exponential potentials, common in quintessence models, could produce observable effects within our Solar System by deriving perturbed metrics and post-Newtonian parameters.

Contribution

It provides a perturbative analysis of scalar field models with exponential potentials in the Solar System context, linking cosmological scalar fields to local gravitational tests.

Findings

Derived the perturbed Schwarzschild metric for scalar fields with exponential potentials.

Calculated the post-Newtonian parameters relevant for Solar System tests.

Identified potential phenomenological signatures of scalar fields in local gravitational experiments.

Abstract

We consider a scenario where a scalar field has dynamics ruled by an exponential potential, such as those arising from some quintessence type models, and aim at obtaining phenomenological manifestations of this entity within our Solar System. To do so, we assume a perturbative regime, derive the perturbed Schwarzschild metric, and extract the relevant post-Newtonian parameters.