Extended Lambda-Maxwell duality and related large class of dyonic and neutral exactly solvable 4D Einstein-Maxwell-dilaton models discovered

TL;DR

This paper introduces a new class of exact static solutions for 4D Einstein-Maxwell-dilaton systems, revealing extended dualities, solving longstanding problems, and demonstrating full system separability for generating integrability classes.

Contribution

It discovers a broad class of exact solutions with extended dualities and solves two longstanding problems in Einstein-Maxwell-dilaton models and scalar field theories.

Findings

Found exact static solutions for various topologies and couplings.

Revealed an extended duality between Maxwell-dilaton coupling and dilaton mass.

Demonstrated full separability and a simple method for generating integrability classes.

Abstract

We report the discovered class of exact static solutions of several 4D Einstein-Maxwell-dilaton systems: string-induced, Liouville, trigonometric, polynomial, etc., for three basic topologies (spherical, hyperbolical and flat) being uniformly treated. In addition to the usual electric-magnetic duality this class obeys a certain extended duality between Maxwell-dilaton coupling and dilaton mass. Though major solutions we obtain are dyonic, the class also comprises interesting neutral models. As a by-product, we significantly succeded in resolving of the two important problems, one of which has been standing more than a decade (system with the string-inspired exponential Maxwell-dilaton coupling and non-vanishing dilaton mass) and another one - gravity coupled to massive neutral scalar field: generalized Liouville, Sin(h), Cos(h) - is about fifty years old. Finally, we demonstrate the full separability of the static EMD system and publicize the simple procedure of how to generate new integrability classes.