On holographic description of the Kerr-Newman-AdS-dS black holes

In this paper, we study the holographic description of the generic four-dimensional non-extremal Kerr-Newman-AdS-dS black holes. We find that if focusing on the near-horizon region, for the massless scalar scattering in the low-frequency limit, there exists hidden conformal symmetry on the solution space. Similar to the Kerr case, this suggests that the Kerr-Newman-AdS-dS black hole is dual to a two-dimensional CFT with central charges c(L) = c(R) = 6a(r+ +r*)/k and temperatures T-L = k(r(+)(2)+ r(*)(2) + 2a(2))/4 pi a Xi(r +1r(*)), T-R = k(r(+)- r(*))/4 pi Xi. The macroscopic Bekenstein-Hawking entropy could be recovered from the microscopic counting in dual CFT via the Cardy formula. Using the Minkowski prescription, we compute the real- time correlators of the scalar, photon and graviton in near horizon geometry of near extremal Kerr-AdS-dS black hole. In all these cases, the retarded Green's functions and the corresponding absorption cross sections are in perfect match with CFT prediction. We further discuss the low- frequency scattering of a charged scalar by a Kerr-Newman-AdS-dS black hole and find the dual CFT description.Physics, Particles & FieldsSCI(E)22ARTICLE8nul