Analogs in general relativity of Ferraro's law of isorotation

Physics

Scientific paper

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Scientific paper

Two relativistic analogs of Ferraro's law of isorotation for a fluid with infinite electrical conductivity are given. In the first case it is assumed that the flow is shear-free withH a =0 and it is shown that £(H) ω a =0. In the second case it is assumed that there exists a space-like Killing vector field parallel toH a , and it is proved thatω, a H a =0.

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