Bright solitons as black holes

Abstract

2D Jackiw-Teitelboim gravity is represented as a completely integrable nonlinear reaction-diffusion system, whose Euclidean version leads to the nonlinear Schr\"odinger equation. The solitonlike solutions, called dissipatons, to such systems characterize completely the black holes of the considered gravity model (the black hole horizon, the Hawking temperature, and the causal structure). The collision of black holes is described in terms of elastic scattering of dissipatons, which shows a novel transmissionless character, creating a metastable state with a specific lifetime. Finally, alternative descriptions of the model in terms of other completely integrable systems are overlooked.