Aspects of kink-like structures in 2D dilaton gravity

TL;DR

This paper investigates kink-like solutions in 2D dilaton gravity, analyzing their stability, complexity, and interactions to understand their physical significance and potential implications for more complex systems.

Contribution

It introduces a detailed analysis of kink-like matter solutions in 2D dilaton gravity, including stability, configurational complexity, and scattering processes, which is novel in this context.

Findings

Kink-like solutions are linearly stable.

Differential configurational complexity confirms the nature of the structures.

Interforce and scattering behaviors of kink-antikink pairs are characterized.

Abstract

The topological structures that arise from two-dimensional models are relevant physically and the first step towards understanding more complex systems. In this work, one studies the kink-like solutions of the matter field that emerge in a two-dimensional dilaton gravity scenario. Considering this scenario, we examine the linear stability of the matter field and the translational mode. Due to the specific profile of the solutions found, a differential configurational complexity (DCC) analysis of the system was necessary to confirm the nature of the structures. Furthermore, we study the interforce and scattering process, considering a pair of kink-antikink-like solutions in a fixed time ($t=0$).