  Dynamical evolution of black holes may be studied perturbatively in the
membrane picture. We study the case of a body freely falling into a black hole,
in the Rindler approximation. The motivation is to see if this process is
accompanied by the induction of a non-zero supertranslation. Following previous
studies, a notion of induction of supertranslation during a dynamical evolution
is first introduced and then, the case of a freely falling body is
investigated.
