Effects of the acceleration on holographic complexity

TL;DR

This paper investigates how acceleration and rotation influence holographic complexity in AdS black holes, revealing that acceleration effects are captured by probe strings and are related to black hole rotation.

Contribution

It extends previous studies by analyzing rotating accelerating black holes and their holographic complexity using probe strings.

Findings

Acceleration effects are captured by probe strings.

Rotation influences the relation between acceleration and complexity.

Growth of Einstein-Hilbert action remains unaffected by acceleration.

Abstract

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.