General Static Axially-symmetric Solutions of (2+1)-dimensional Einstein-Maxwell-Dilaton Theory

TL;DR

This paper derives the general static axially symmetric solutions in (2+1)-dimensional Einstein-Maxwell-Dilaton theory, revealing the connection between electrically and magnetically charged sectors through dimensional reduction.

Contribution

It provides the first comprehensive set of solutions for this theory by reducing it to 2D dilaton gravity, clarifying the relationship between charge sectors.

Findings

Explicit solutions for magnetically and electrically charged sectors

Transformation rules linking the two charge sectors

Insight into the structure of (2+1)-dimensional Einstein-Maxwell-Dilaton solutions

Abstract

We obtain the general static solutions of the axially symmetric (2+1)-dimensional Einstein-Maxwell-Dilaton theory by dimensionally reducing it to a 2-dimensional dilaton gravity theory. The solutions consist of the magnetically charged sector and the electrically charged sector. We illuminate the relationship between the two sectors by pointing out the transformations between them.