scholarly journals Higher dimensional rotating black holes in Einstein–Maxwell theory with negative cosmological constant

2007 ◽  
Vol 649 (5-6) ◽  
pp. 463-471 ◽  
Author(s):  
Jutta Kunz ◽  
Francisco Navarro-Lérida ◽  
Eugen Radu
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Maxwell Theory ◽  
Negative Cosmological Constant ◽  
Higher Dimensional ◽  
Rotating Black Holes

scholarly journals Central charges for AdS black holes

2021 ◽  
Author(s):  
Malcolm Perry ◽  
Maria J Rodriguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Cosmological Constant ◽  
Central Charge ◽  
Negative Cosmological Constant ◽  
Ads Black Holes ◽  
Kerr Black Holes ◽  
Distinguishing Features ◽  
Area Law ◽  
Cardy Formula

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.

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