Holographic Complexity in Charged Accelerating Black Holes

TL;DR

This paper explores how the holographic complexity growth rate in charged accelerating black holes with conical deficits differs from ordinary charged black holes, revealing information about boundary conical deficits.

Contribution

It extends the CA conjecture analysis to charged accelerating black holes with conical deficits, showing the impact on complexity growth rate.

Findings

Late-time complexity growth rate differs from ordinary charged black holes.

Complexity encodes information about boundary conical deficits.

Abstract

Using the ``complexity equals action''(CA) conjecture, for an ordinary charged system, it has been shown that the late-time complexity growth rate is given by a difference between the value of $\Phi_{H}Q+\Omega_H J$ on the inner and outer horizons. In this paper, we investigate the complexity of the boundary quantum system with conical deficits. From the perspective of holography, we consider a charged accelerating black holes which contain conical deficits on the north and south poles in the bulk gravitational theory and evaluate the complexity growth rate using the CA conjecture. As a result, the late-time growth rate of complexity is different from the ordinary charged black holes. It implies that complexity can carry the information of conical deficits on the boundary quantum system.