Probe strings on anti-de Sitter accelerating black holes

In this work we consider a spacial kind of spacetime called an anti-de Sitter accelerating black hole. This is a kind of black hole that contains a stringlike singularity along polar axes attached to the black hole that accelerates it. By using a string as a probe, we study the properties of the complexity growth of black holes following the complexity-action duality. We find that the growth in the Einstein-Hilbert action is independent of the acceleration but the string probe detects the effects of acceleration.