Complexity growth of massive black hole with a probe string
Abstract
In this work, we study the computational complexity of massive gravity theory via the "Complexity = Action" conjecture. Our system contains a particle moving on the boundary of the black hole spacetime. It is dual to inserting a fundamental string in the bulk background. Then this string would contribute a Nambu-Goto term, such that the total action is composed of the Einstein-Hilbert term, Nambu-Goto term and the boundary term. We shall investigate the time development of this system, and mainly discuss the features of the Nambu-Goto term affected by the graviton mass and the horizon curvature in different dimensions. Our study could contribute interesting properties of complexity.
Cite
@article{arxiv.2104.12998,
title = {Complexity growth of massive black hole with a probe string},
author = {Yu-Ting Zhou and Xiao-Mei Kuang and Jian-Pin Wu},
journal= {arXiv preprint arXiv:2104.12998},
year = {2021}
}
Comments
18 pages; minor revisions, references updated; published version