Complexity of the Einstein-Born-Infeld-Massive Black holes

TL;DR

This paper investigates the computational complexity of Einstein-massive black holes with Born-Infeld nonlinear electrodynamics, confirming that Lloyd's bound on complexity growth is satisfied in this context.

Contribution

It extends the analysis of complexity to Einstein-massive black holes with nonlinear electrodynamics, demonstrating Lloyd's bound holds in this setting.

Findings

Lloyd's bound is satisfied for Einstein-massive black holes with BI electrodynamics.

The study links holographic complexity with nonlinear electrodynamics in massive gravity.

Provides insights into the complexity-action correspondence in modified gravity theories.

Abstract

Motivated by interesting correspondence between computational complexity in a CFT and the action evaluated on a WDW patch in the bulk, we study the complexity of the Einstein-massive black holes in the presence of BI nonlinear electrodynamics. The upper limit of Llyod bound according to the WDW patch is investigated and it is proved that Llyod bound is held.