Explicit soliton-black hole correspondence for static configurations

TL;DR

This paper establishes an explicit mathematical mapping between static soliton solutions and black hole metrics in 2D dilaton gravity, enhancing the understanding of their correspondence.

Contribution

It introduces a new explicit map that connects soliton solutions to black hole metrics, extending previous correspondences in 2D dilaton gravity.

Findings

Explicit soliton-black hole map constructed

Enhances understanding of soliton and black hole correspondence

Extends Cadoni and Gegenberg-Kunstatter correspondences

Abstract

We construct an explicit map that transforms static, generalized sine-Gordon metrics to black hole type metrics. This, in particular, provides for a further description of the Cadoni correspondence (which extends the Gegenberg-Kunstatter correspondence) of soliton solutions and extremal black hole solutions in 2D dilaton gravity.