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arXiv · 1807.01088

Complexity growth of rotating black holes with a probe string

Koichi Nagasaki
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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.

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Koichi Nagasaki. 2018-12-17. Complexity growth of rotating black holes with a probe string. https://doi.org/10.1103/physrevd.98.126014

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