General relativistic magnetofluids

Abstract

General relativistic hydromagnetic systems are studied in the infinite conductivity limit. It is shown that when the frozen-in magnetic field lies in surfaces of constant pressure, the fluid acceleration and magnetic field are orthogonal. The theorem is proved that a shear-free infinite conductivity magnetofluid is irrotational if and only if the Weyl tensor is pure electric type. A restricted steady state is formulated and discussed, and within that state it is shown that an infinite conductivity magnetofluid cannot be electrically neutral.