Convection under the influence of dynamically significant radiation fields occurs routinely in hot stars (Underhill 1949 ab) and probably also in a variety of other objects near the Eddington limit (Joss, Salpeter, and Ostriker 1973). Yet this topic, which is here called photoconvection, has not been actively investigated prior to the present decade. Except for limiting cases, the stability condition does not seem to have been worked out and only some preliminary notions exist about the highly unstable case. This is somewhat surprising since it has long been suspected that some of the vigorous dynamical activity observed in hot stars (Huang and Struve 1960, Reimers 1976) is caused by radiative forces (Underhill 1949 ab). In the hope that this neglect may be compensated for by the application of some of the techniques described at this meeting, I shall sketch some of the main features of this topic.