# Large gravitons and near-horizon diffeomorphisms

@article{Cunha2017LargeGA, title={Large gravitons and near-horizon diffeomorphisms}, author={Bruno Carneiro da Cunha and Filipe Rudrigues}, journal={Physical Review D}, year={2017}, volume={95}, pages={084012} }

Usual gauge fixing procedures in classical general relativity rely on the existence of solutions of a second order wave equation. We propose to use the equation to relate asymptotic symmetries at infinity to asymptotic symmetries of a black hole horizon, in tune with recent proposals. We illustrate the construction for the BTZ and four-dimensional Kerr black holes. We find in both cases a realization of the group of diffeomorphisms of the circle $S^1$.

## 2 Citations

### Lectures on the Infrared Structure of Gravity and Gauge Theory

- Physics
- 2018

This is a redacted transcript of a course given by the author at Harvard in spring semester 2016. It contains a pedagogical overview of recent developments connecting the subjects of soft theorems,…

### FILIPE RUDRIGUES DE ALMEIDA LIRA LARGE GRAVITONS AND NEAR HORIZON DIFFEOMORPHISMS Recife 2017 FILIPE RUDRIGUES DE ALMEIDA LIRA LARGE GRAVITONS AND NEAR HORIZON DIFFEOMORPHISMS

- Mathematics
- 2017

Recent proposals to associate degrees of freedom (“hair”) of black hole backgrounds with isometries of the event horizon have been put forward. These approaches suffer, however, from lack of explicit…

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