Detecting Chameleon Dark Energy via Electrostatic Analogy

TL;DR

This paper introduces an electrostatic analogy to analyze chameleon scalar fields responsible for cosmic acceleration, revealing a lightning rod effect and a net torque on non-spherical bodies that could be experimentally tested.

Contribution

It develops a novel electrostatic analogy for chameleon scalar fields, enabling calculation of field profiles and predicting a unique torque effect on non-spherical objects.

Findings

Field enhancement near pointed objects due to the lightning rod effect

Prediction of a net torque on non-spherical test bodies in scalar fields

Potential for experimental detection of scalar field effects

Abstract

The late-time accelerated expansion of the universe could be caused by a scalar field that is screened on small scales, as in chameleon or symmetron scenarios. We present an analogy between thin shell configurations of such scalar fields and electrostatics, which allows calculation of the field profile for general extended bodies. Interestingly, the field demonstrates a `lightning rod' effect, where it becomes enhanced near the ends of a pointy or elongated object. Drawing from this correspondence, we show that non-spherical test bodies immersed in a background field will experience a net torque caused by the scalar field. This effect, with no counterpart in the gravitational case, can be potentially tested in future experiments.