Complexity growth of rotating black holes with a probe string
Abstract
We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this corresponds to the insertion of a fundamental string on the bulk spacetime. The total action consists of the Einstein-Hilbert term and the Nambu-Goto term. The effect of this string is expressed by the Nambu-Goto term. Focusing on the Nambu-Goto term, we analyse the time development of this system. Our results show some interesting properties of complexity. This gives a useful hint for defining complexity in quantum field theories.
Keywords
Cite
@article{arxiv.1807.01088,
title = {Complexity growth of rotating black holes with a probe string},
author = {Koichi Nagasaki},
journal= {arXiv preprint arXiv:1807.01088},
year = {2019}
}
Comments
26 figures, 25 pages, some comments in discussion and references are added. Some mistakes for figures are corrected