The general-relativistic field equations a r e solved for a spherically symmetric static charged matter fluid in isotropic coordinates, and matched at the boundary R to the external Reissner-Nordstriim metric. No pressure, i.e., s t r e s s of undefined origin, is involved. There turns out to be one more unknown than equation, but consistency and continuity conditions severely restrict the solutions. It is found that the charged fluid can be in equilibrium even with a large e / m , .such a s for an electron considered a s a fluid, but only if (1) there i s a singularity in gd4 at r =0, (2) the matter density p, in the energy-momentum tensor i s negative, and (3) the ratio p,/p, of charge to matter density i s a variable function. The energy density (as opposed to the matter density) can be made everywhere positive in the coordinates used. A simple picture of how the forces balance can be made.