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- Title
On the evolution equations for ideal magnetohydrodynamics in curved spacetime.
- Authors
Pugliese, Daniela; Valiente Kroon, Juan
- 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.
- Subjects
MAGNETOHYDRODYNAMICS; EVOLUTION equations; SPACETIME; BIANCHI groups; TENSOR fields; GRAVITATIONAL fields
- Publication
General Relativity & Gravitation, 2012, Vol 44, Issue 11, p2785
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-012-1424-6