Soliton Resonances, Black Holes and Madelung Fluid
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Pashaev, Oktay
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GOLD
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Yes
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Abstract
The reaction-diffusion system realizing a particular gauge fixing condition of the Jackiw-Teitelboim gravity is represented as a coupled pair of Burgers equations with positive and negative viscosity. For acoustic metric in the Madelung fluid representation the space-time points where dispersion change the sign correspond to the event horizon, while shock soliton solutions to the black holes, creating under collision the resonance states.
Description
Special Issue: Proceedings of the 13th Workshop NEEDS’99: Nonlinear Evolution Equations and Dynamical Systems
Keywords
Black holes, Hawking radiation, Schrödinger equation, Quantum potential, event horizon, Black holes, Stability and instability of geophysical and astrophysical flows, resonances, Hawking radiation, Schrödinger equation, Quantum potential, black holes, fluid
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Pashaev, O., and Lee, J. H. (2001). Soliton resonances, black holes and madelung fluid. Journal of Nonlinear Mathematical Physics, 8(Supplement), 230-234. doi:10.2991/jnmp.2001.8.s.40
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OpenCitations Citation Count
4
Volume
8
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Supplement
Start Page
230
End Page
234
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Scopus : 6
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