Effects of the acceleration on holographic complexity

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole. In these kind of spacetimes the growth of Einstein-Hilbert action is independent of the acceleration as found in the previous works. By using a string as a probe, we found the effect of the acceleration is captured by the string prove in our previous work. Here in this work we consider the case of rotating black holes. By the prove string we clearly describe the effect of the acceleration and its relation to the rotation of the black holes.