On the evolution equations for ideal magnetohydrodynamics in curved spacetime
General Relativity and Quantum Cosmology
2012-07-11 v2 High Energy Astrophysical Phenomena
Mathematical Physics
math.MP
Abstract
We examine the problem of the construction of a first order symmetric hyperbolic evolution system for the Einstein-Maxwell-Euler system. Our analysis is based on a 1+3 tetrad formalism which makes use of the components of the Weyl tensor as one of the unknowns. In order to ensure the symmetric hyperbolicity of the evolution equations implied by the Bianchi identity, we introduce a tensor of rank 3 corresponding to the covariant derivative of the Faraday tensor. Our analysis includes the case of a perfect fluid with infinite conductivity (ideal magnetohydrodynamics) as a particular subcase.
Keywords
Cite
@article{arxiv.1112.1525,
title = {On the evolution equations for ideal magnetohydrodynamics in curved spacetime},
author = {Daniela Pugliese and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1112.1525},
year = {2012}
}
Comments
25 pages, no figures. New references added. Comments added in the Introduction. Accepted for publication in General Relativity and Gravitation