# Exploring a cold plasma-2d black hole connection

## TL;DR

This paper establishes a direct mathematical connection between cold plasma physics and two-dimensional black hole models by transforming wave propagation metrics into black hole metrics using nonlinear Schrödinger equations.

## Contribution

It introduces a novel approach linking cold plasma wave dynamics to black hole geometry through explicit metric transformations.

## Key findings

- Derived a metric for magneto-acoustic wave propagation in cold plasma.
- Successfully transformed the plasma metric into a Jackiw-Teitelboim black hole metric.
- Provided a mathematical framework connecting plasma physics and black hole models.

## Abstract

Using a resonance nonlinear Schrodinger equation as a bridge,we explore a direct connection of cold plasma physics to two-dimensional black holes.Namely,we compute and diagonalize a metric attached to the propagation of magneto-acoustic waves in a cold plasma subject to a transverse magnetic field,and we construct an explicit change of variables by which this metric is transformed exactly to a Jackiw-Teitelbiom black hole metric.

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Source: https://tomesphere.com/paper/1907.13064