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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References

SHOWING 1-10 OF 47 REFERENCES

Black hole entropy from near-horizon microstates

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS3 (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS3 is a…

Symmetries of asymptotically flat four-dimensional spacetimes at null infinity revisited.

It is shown that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semidirect sum of supertranslations with infinitesimal local conformal…

Supertranslations and Superrotations at the Black Hole Horizon.

We show that the asymptotic symmetries close to nonextremal black hole horizons are generated by an extension of supertranslations. This group is generated by a semidirect sum of Virasoro and Abelian…

Aspects of the BMS/CFT correspondence

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In…

Three-dimensional quantum geometry and black holes

We review some aspects of three-dimensional quantum gravity with emphasis in the ‘CFT → Geometry’ map that follows from the BrownHenneaux conformal algebra. The general solution to the classical…

Entropy from conformal field theory at Killing horizons

On a manifold with a boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a…

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three…

Null surface quantization and quantum theory of massless fields in asymptotically flat space-time

The quantum theory of massless fields in an asymptotically simple space-time is developed. The Schwinger dynamical principle and the Penrose conformal technique are exploited to derive the…

Extended symmetries at the black hole horizon

A bstractWe prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set…

Exploring the holographic principle in asymptotically flat spacetimes via the BMS group