Stationary gravitational fields of a dually charged perfect fluid

Abstract

Stationary field equations in the presence of a charged perfect fluid with both electric and monopole currents in isometric motion are studied. It is shown that the eight-parameter group of transformations which preserve the stationary electrovac equations can also be applied to dually charged sources. In the case of dually charged dust an equilibrium condition ρ= (σ*σ)1/2 implies a functional relationship between ReΓ and the complex potentials Φ and Φ*. Furthermore, it is proved that when ρ≠0 and σ≠0, the additional assumption of an arbitrary linear relationship between Γ and Φ leads uniquely to the Israel–Spanos class of solutions.