From a magnetoacoustic system to a J-T black hole: A little trip down memory lane

Autor:	Floyd L. Williams
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	magnetoacoustic system lagrangian density cold plasma elliptic functions resonant nonlinear schrödinger equation plasma metric continuous heisenberg model ricci scalar curvature jackiw-teitelboim black hole cosmological constant dilaton field Analytic mechanics QA801-939
Zdroj:	Communications in Analysis and Mechanics, Vol 15, Iss 3, Pp 342-361 (2023)
Druh dokumentu:	article
ISSN:	2836-3310
DOI:	10.3934/cam.2023017?viewType=HTML
Popis:	We assign a Riemannian metric to a system of nonlinear equations that describe the one-dimensional propagation of long magnetoacoustic waves (also called magnetosonic waves) in a cold plasma under the inference of a transverse magnetic field. The metric, which in general is expressed in terms of the density of the plasma and its speed across the magnetic field, when specialized to a particular solution of the nonlinear system (the Gurevich-Krylov (G-K) solution) is mapped explicitly to a Jackiw-Teitelboim (J-T) black hole metric, which is the main result. Dilaton fields, constructed from data involved in the G-K solution, are presented - which with the plasma metric provide for elliptic function solutions of the J-T equations of motion in 2d dilaton gravity. A correspondence between solutions of the nonlinear plasma system (whose Galilean invariance is also established) and certain solutions of a resonant nonlinear Schrödinger equation is set up, along with some other general background material to render an expository tone in the presentation.
Databáze:	Directory of Open Access Journals
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