Note on the tetrad formulation of relativistic hydrodynamics. II. Charged perfect fluid with a null conductivity

摘要

Relativistic hydrodynamics of a charged perfect fluid in a given gravitational field g_(ij) and electromagnetic field F_(ij) is examined, adopting the method of anholonomic frames. The hydrodynamical equations are brought into the same form as the corresponding equations in special relativity with added terms containing the object of anholonomity. A manifestly anholonomic formulation of relativistic hydrodynamics, covariant under transformations of natural frames into arbitrary tetrad frames, requires the presence of this geometrical object.