# Relabeling symmetry in relativistic fluids and plasmas

Yohei Kawazura, Zensho Yoshida, Yasuhide Fukumoto

9 被引用数 (Scopus)

## 抄録

The conservation of the recently formulated relativistic canonical helicity (Yoshida et al 2014 J. Math. Phys. 55 043101) is derived from Noether's theorem by constructing an action principle on the relativistic Lagrangian coordinates (we obtain general cross helicities that include the helicity of the canonical vorticity). The conservation law is, then, explained by the relabeling symmetry pertinent to the Lagrangian label of fluid elements. Upon Eulerianizing the Noether current, the purely spatial volume integral on the Lagrangian coordinates is mapped to a space-time mixed three-dimensional integral on the four-dimensional Eulerian coordinates. The relativistic conservation law in the Eulerian coordinates is no longer represented by any divergence-free current; hence, it is not adequate to regard the relativistic helicity (represented by the Eulerian variables) as a Noether charge, and this stands the reason why the 'conventional helicity' is no longer a constant of motion. We have also formulated a relativistic action principle of magnetohydrodynamics (MHD) on the Lagrangian coordinates, and have derived the relativistic MHD cross helicity.

本文言語 英語 465501 Journal of Physics A: Mathematical and Theoretical 47 46 https://doi.org/10.1088/1751-8113/47/46/465501 出版済み - 11月 21 2014

## !!!All Science Journal Classification (ASJC) codes

• 統計物理学および非線形物理学
• 統計学および確率
• モデリングとシミュレーション
• 数理物理学
• 物理学および天文学（全般）

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