Two-dimensional gravitation and Sine-Gordon-Solitons

TL;DR

This paper explores two-dimensional gravity coupled with the Sine-Gordon model, discovering analytic soliton solutions and analyzing their impact on space-time geometry, providing a foundation for future research.

Contribution

It introduces new analytic soliton solutions in 2D gravity coupled to Sine-Gordon matter and examines their geometric properties.

Findings

Analytic soliton solutions are identified.

The structure of the induced space-time geometry is analyzed.

Potential for further investigations is highlighted.

Abstract

Some aspects of two-dimensional gravity coupled to matter fields, especially to the Sine-Gordon-model are examined. General properties and boundary conditions of possible soliton-solutions are considered. Analytic soliton-solutions are discovered and the structure of the induced space-time geometry is discussed. These solutions have interesting features and may serve as a starting point for further investigations.