Aspects of Kink‐Like Structures in 2D Dilaton Gravity

The topological structures that arise from two‐dimensional (2D) models are relevant physically and the first step toward understanding more complex systems. In this work, one studies the kink‐like solutions of the matter field that emerge in a 2D dilaton gravity scenario. Considering this scenario, the linear stability of the matter field and the translational mode is examined. Due to the specific profile of the solutions found, a differential configurational complexity (DCC) analysis of the system is necessary to confirm the nature of the structures. Furthermore, the interforce and scattering process is studied, considering a pair of kink‐antikink‐like solutions in a fixed time (t=0$t=0$).