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Central Charges for AdS Black Holes
- Source :
- Classical and Quantum Gravity, 39 ,045009 (2022)
- Publication Year :
- 2020
-
Abstract
- Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left-right pair of Virasoro algebras with associated charges that reproduce the Bekenstein-Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with cL = cR. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.<br />Comment: v1: 15 pages, v2: minor improvements, published version
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Classical and Quantum Gravity, 39 ,045009 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2007.03709
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1361-6382/ac45d8