  We consider the spacetime structure of Kerr-G\"odel black holes, analyzing
their parameter space Kerr-G\"odel in detail. We apply the tunnelling method to
compute their temperature and compare the results to previous calculations
obtained via other methods. We claim that it is not possible to have the CTC
horizon in between the two black hole horizons and include a discussion of
issues that occur when the radius of the CTC horizon is smaller than the radius
of both black hole horizons.
