Abstract
We have investigated the hidden conformal symmetry of generic non-extremal rotating black holes in the five-dimensional Godel universe. In a range of parameters, the low-frequency massless scalar wave equation in the “near region” can be described by an SL(2, R)L × SL(2, R)R conformal symmetry. We further found that the microscopic entropy via Cardy formula matches the macroscopic Bekenstein-Hawking entropy and the absorption cross section for the massless scalar also agrees with the one for the two dimensional finite temperature conformal field theory (CFT). All these evidences support the conjecture that the generic non-extremal rotating black hole immersed in the Godel universe can be dual to a two dimensional finite temperature CFT. In addition, we have reformulated the first laws of thermodynamics associated with the inner and outer horizons of the rotating Godel-type black holes into the forms of conformal thermodynamics.
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