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The equivalence of perfect fluid space-times and magnetohydrodynamic space-times in general relativity

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Abstract

It is shown that perfect fluid space-times can also satisfy the field equations for a magnetohydrodynamic fluid. The necessary conditions for this equivalence are found and the magnetohydrodynamic interpretations of the zero-curvature FRW model with equation of stateρ=3p, and of the Gödel model are given.

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Tupper, B.O.J. The equivalence of perfect fluid space-times and magnetohydrodynamic space-times in general relativity. Gen Relat Gravit 15, 47–64 (1983). https://doi.org/10.1007/BF00755894

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