HOLOGRAPHIC DESCRIPTION OF A KERR–GÖDEL BLACK HOLE IN FIVE DIMENSIONS

In the present paper we study the holographic description of the five-dimensional Kerr–Gödel black holes. We find that if focusing on the near-horizon region, for the massless scalar scattering in the low-frequency limit, the radial equation could be rewritten as the SL (2, R)L × SL (2, R)R quadratic Casimir, suggesting the existence of dual two-dimensional description. We read the temperatures of the dual CFT from the conformal coordinates. We recover the macroscopic entropy from microscopic considerations by applying the Cardy formula for the putative dual CFT. We also show that the absorption cross-section of a near-region scalar field is matched to the universal behavior of the 2-point function of finite temperature CFT.