Abstract
Three-dimensional G\"odel black hole is a solution to Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We have studied the hidden conformal symmetry for massive scalar field without any additional condition in the background of three-dimensional nonextremal and extremal G\"odel black holes. This conformal symmetry is uncovered by the observation that the radial wave equations in both cases can all be rewritten in the form of $SL(2,R)$ Casimir operators through introducing two sets of conformal coordinates to write the $SL(2,R)$ generators. At last, we give the holographic dual descriptions of Bekenstein-Hawking entropies of nonextremal and extremal black holes from Cardy formula of conformal field theory.
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