‘Gravitational memory’ refers to the possibility that, in cosmologies with a time-varying gravitational ‘constant’, objects such as black holes may retain a memory of conditions at the time of their birth. We consider this phenomenon in a different physical scenario, where the objects under consideration are boson stars. We construct boson star solutions in scalar–tensor gravity theories, and consider their dependence on the asymptotic value of the gravitational strength. We then discuss several possible physical interpretations, including the concept of pure gravitational stellar evolution.Facultad de Ciencias Exactas