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Injection and decay of particles in an inhomogeneous quantum condensate can sig nificantly change its behaviour.We model trapped, pumped, decaying condensates by a complex Gross-Pitaevskii equation and analyse the density and currents in the steady state.With homogeneous pumping, rotationally symmetric solutions are unstable.Sta bility may be restored by a finite pumping spot.However if the pumping spot is larger than the Thomas-Fermi cloud radius, then rotationally symmetric solutions are replaced by solutions with spontaneous arrays of vortices.These vortex arrays arise without any rotation of the trap, spontaneously breaking rotational symmetry.