Riemann-Lagrange Geometric Dynamics for the Multi-Time Magnetized Non-Viscous Plasma

Details Riemann-Lagrange Geometric Dynamics for the Multi-Time Magnetized Non-Viscous Plasma Riemann-Lagrange Geometric Dynamics for the Multi-Time Magnetized Non-Viscous Plasma

2010-05-25

arxiv.org/abs/1005.4567v1

Mathematics

Differential Geometry

16 pages

Scientific paper

In this paper, using Riemann-Lagrange geometrical methods, we construct a geometrical model on 1-jet spaces for the study of multi-time relativistic magnetized non-viscous plasma, characterized by a given energy-stress-momentum distinguished (d-) tensor. In that arena, we give the conservation laws and the continuity equations for multi-time plasma. The partial differential equations of the stream sheets (the equivalent of stream lines in the classical semi-Riemannian geometrical approach of plasma) for multi-time plasma are also written.

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