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 $S^1$. 
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