We consider the effects of lateral charge fluctuations on the linear s
hear response of thin films. These fluctuations break the in-plane sym
metry of the system and at short enough times cause the interaction en
ergy to depend on the relative positions of the top and bottom surface
s of the film. This gives rise to a shear stress which can be signific
ant depending on the time scale of charge reequilibration and on the c
harge and thickness of the film. The results have implications for the
shear of charged membranes as well as the shear and frictional proper
ties of electrolytes between two charged surfaces. [S0031-53007(98)076
69-8].