# A Note on the Subleading Soft Graviton

## TL;DR

This paper explores the subleading aspects of soft gravitons and their associated charges, expressing them through boundary metric components at null infinity and relating them to the spin memory effect.

## Contribution

It introduces a new formulation of the subleading soft graviton charge in harmonic gauge using boundary metric data at null infinity, linking it to the spin memory observable.

## Key findings

- Subleading soft graviton charge expressed via boundary metric components.
- Reformulation of the spin memory effect in terms of boundary data.
- Enhanced understanding of asymptotic symmetries in gravity.

## Abstract

We show that the soft part of the charge generating infinitesimal superrotations can be expressed, in harmonic gauge, in terms of metric components evaluated at the boundaries of null infinity that are subleading in a large radius expansion. We then recast the spin memory observable in terms of these boundary values.