Inducing supertranslations: The membrane picture

Abstract

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.