2D Extremal Black Holes as Solitons

TL;DR

This paper establishes a correspondence between 2D dilaton gravity solutions and a generalized sine-Gordon model, revealing a link between black hole solutions and solitons, and providing a method to generate cosmological solutions.

Contribution

It introduces a novel connection between 2D dilaton gravity and a generalized sine-Gordon model, enabling new insights into black hole and cosmological solutions.

Findings

Soliton solutions correspond to extremal black holes.

A method to generate cosmological solutions in 2D dilaton gravity.

Establishment of a one-to-one mapping between models.

Abstract

We discuss the relationship between two-dimensional (2D) dilaton gravity models and sine-Gordon-like field theories. We show that there is a one-to-one correspondence between the solutions of 2D dilaton gravity and the solutions of a (two fields) generalization of the sine-Gordon model. In particular, we find a connection between the soliton solutions of the generalized sine-Gordon model and extremal black hole solutions of 2D dilaton gravity. As a by-product of our calculations we find a easy way to generate cosmological solutions of 2D dilaton gravity.