We consider the electromagnetic resolution of the gravitational field.
We show that under the duality transformation, in which active and pa
ssive electric parts of the Riemann curvature are interchanged, a flui
d spacetime in comoving coordinates remains invariant in character wit
h density and pressure transforming, while energy flux and anisotropic
pressure remain unaltered. Furthermore, if the fluid admits a barotro
pic equation of state, p = (gamma - 1)rho where 1 less than or equal t
o gamma less than or equal to 2, which will transform to p = (2 gamma/
(3 gamma - 2)-1)rho. Clearly the stiff fluid and dust are dual to each
other, while rho + 3p = 0 will go to flat spacetime. However, the rad
iation (rho - 3p = 0) and the de Sitter (rho + p = 0) universes are se
lf-dual.