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On the evolution equations for ideal magnetohydrodynamics in curved spacetime

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London, E1 4NS, UK

    Daniela Pugliese & Juan A. Valiente Kroon

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  1. Daniela Pugliese
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  2. Juan A. Valiente Kroon
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Correspondence to Daniela Pugliese.

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Pugliese, D., Valiente Kroon, J.A. On the evolution equations for ideal magnetohydrodynamics in curved spacetime. Gen Relativ Gravit 44, 2785–2810 (2012). https://doi.org/10.1007/s10714-012-1424-6

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  • DOI: https://doi.org/10.1007/s10714-012-1424-6

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