GRAVITATIONAL MEMORY OF BOSON STARS

''Gravitational memory'' refers to the possibility that, in cosmologie s with a time-varying gravitational ''constant,'' objects such as blac k holes may retain a memory of conditions at the time of their birth. We consider this phenomenon in a different physical scenario, where th e objects under consideration are boson stars. We construct boson star solutions in scalar-tensor gravity theories, and consider their depen dence on the asymptotic value of the gravitational strength. We then d iscuss several possible physical interpretations, including the concep t of pure gravitational stellar evolution.