Primary scalar hair in dilatonic theories with modulus fields

TL;DR

This paper analyzes spherical solutions in dilaton-modulus gravity coupled with Maxwell fields, classifying them by mass, charge, and scalar charge, and discusses their global properties.

Contribution

It provides a comprehensive classification of solutions in dilaton-modulus gravity with Maxwell fields, highlighting the role of scalar charge.

Findings

Solutions classified by mass, charge, and scalar charge

Global properties of solutions discussed

Methodology based on dynamical systems theory

Abstract

We study the general spherical symmetric solutions of dilaton-modulus gravity non-minimally coupled to a Maxwell field, using methods from the theory of dynamical systems. We show that the solutions can be classified by the mass, the electric charge, and a third parameter which we argue can be related to a scalar charge. The global properties of the solutions are discussed.