  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.
