Abstract
The Two-dimensional Jackiw-Teitelboim gravity is represented as a completely integrable nonlinear reaction — diffusion system, whose Euclidean version leads to the non-linear Schrödinger equation. The soliton-like solutions, to such systems called dissipatons, characterize completely the black holes of the gravity model under consideration (the black hole horizon, the Hawking temperature and the causal structure). 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 discussed.
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Martina, L. (2000). Black Holes and Solitons. In: Casciaro, B., Fortunato, D., Francaviglia, M., Masiello, A. (eds) Recent Developments in General Relativity. Springer, Milano. https://doi.org/10.1007/978-88-470-2113-6_25
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DOI: https://doi.org/10.1007/978-88-470-2113-6_25
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