Inducing supertranslations: The membrane picture

TL;DR

This paper investigates whether the process of a body falling into a black hole induces supertranslations, using the membrane paradigm and Rindler approximation, to understand black hole dynamics and symmetries.

Contribution

It introduces a notion of supertranslation induction during dynamical evolution and applies it to a freely falling body in the membrane picture.

Findings

Supertranslations can be induced during black hole perturbations

The membrane picture effectively models dynamical black hole processes

The study provides insights into black hole symmetries during infall

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.