Ricci flat black holes in higher dimensional SU(2) Einstein–Yang–Mills theory with negative cosmological constant

2010 ◽  
Vol 688 (1) ◽  
pp. 88-95 ◽  
Author(s):  
Maricel Agop ◽  
Eugen Radu
Author(s):  
Malcolm Perry ◽  
Maria J Rodriguez

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.


2008 ◽  
Vol 665 (4) ◽  
pp. 125-130 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
M. Halilsoy

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