Supertranslations and Superrotations at the Black Hole Horizon

2015/11/30 by Laura Donnay, Gastón Giribet, Gaston Giribet +3 · 18 citations
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Algebra representation #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Homogeneous space #Horizon #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Virasoro algebra #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.116.091101

published as Phys. Rev. Lett. 116, 091101 (2016) · 6 pages, references added, published version

openalex publication_date 2016/03/03 · arxiv created 2016/03/04 · arxiv updated 2016/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 currents. The charges associated with the asymptotic Killing symmetries satisfy the same algebra. When considering the special case of a stationary black hole, the zero mode charges correspond to the angular momentum and the entropy at the horizon.

Citations

• Warped AdS3black holes
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• Near-horizon symmetries of the Schwarzschild black holes with supertranslation field
• General formulae for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy
• Twisted Soft Photon Hair Implants on Black Holes
• The mass of a Lifshitz black hole
• Infinite black hole entropies at infinite distances and tower of states
• Noncommutative Heisenberg algebra in the neighbourhood of a generic null surface
• Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory
• Higher spin black holes with soft hair
• Three-dimensional spin-3 theories based on general kinematical algebras
• BMS-like symmetries in cosmology
• Null infinity as a Killing horizon
• Quantum Area Fluctuations from Gravitational Phase Space