Holographic complexity of Born-Infeld black holes

TL;DR

This paper investigates the holographic complexity growth of Born-Infeld black holes across various gravity theories, revealing faster complexity growth in massive gravity and differing behaviors between electric and magnetic cases, with some unexpected results.

Contribution

It provides a comprehensive analysis of holographic complexity growth in Born-Infeld black holes within different gravity frameworks, including massive gravity, highlighting new behaviors and boundary term effects.

Findings

BI black holes in massive gravity complexify faster than Einstein gravity counterparts

Action growth differs between electric and magnetic Einstein-Born-Infeld black holes

Action growth rates vanish for purely magnetic black holes, an unexpected result

Abstract

In this paper, according to CA duality, we study complexity growth of Born-Infeld (BI) black holes. As a comparison, we study action growth of dyonic black holes in Einstein-Maxwell gravity at the beginning. We study action growth of electric BI black holes in dRGT massive gravity, and find BI black holes in massive gravity complexify faster than the Einstein gravity counterparts. We study action growth of the purely electric and magnetic Einstein-Born-Infeld (EBI) black holes in general dimensions and the dyonic EBI black holes in four-dimensions, and find the manners of action growth are different between electric and magnetic EBI black holes. In all the gravity systems we considered, we find action growth rates vanish for the purely magnetic black holes, which is unexpected. In order to ameliorate the situation, we add the boundary term of matter field to the action and discuss the outcomes of the addition.