An Infinite Number of Static Soliton Solutions to the 5D Einstein-Maxwell Equations with a Dilaton Field

TL;DR

This paper constructs an infinite family of static solutions to the 5D Einstein-Maxwell equations with a dilaton field using soliton techniques, including black rings and black holes, revealing new solution structures.

Contribution

It introduces a method to generate infinitely many solutions to 5D Einstein-Maxwell-dilaton equations, encompassing black rings and black holes, via a soliton approach.

Findings

Constructed infinite solutions using soliton techniques.

Included black ring and black hole solutions.

Analyzed the rod structure of 2-soliton solutions.

Abstract

We study the 5D static Einstein-Maxwell equations with a dilaton field. We construct an infinte number of solutions by using a soliton technique. We study the rod structure of 2-soliton solution and show the 5D dilatonic black ring and black hole solutions are included.