Holographic complexity and phase transition for AdS black holes

Author:

Jiang Hong-Yue11ORCID,Wang Meng-Ting11ORCID,Liu Yu-Xiao11ORCID

Affiliation:

1. Lanzhou University

Abstract

Recently, the complexity equals any gravitational observable conjecture has been proposed in [], which is an extension of the complexity equals volume proposal. These gravitational observables are referred to as generalized volumes. In this paper, we investigate the generalized volume complexity for black holes with one or two horizons respectively. We verify that the turning time is universal and independent of the Cauchy horizon. Not only does this phase transition occur once, but it may also occur two or more times depending on the number and height of the effective potential peaks. On the other hand, we confirm that the generalized volume complexity can be divided based on the shape of the effective potential. We then discuss the nonsmooth transition from the Reissner–Nordström–anti-de Sitter (AdS) black hole to the Schwarzschild-AdS black hole. Published by the American Physical Society 2024

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Higher Education Discipline Innovation Project

Lanzhou University

Major Science and Technology Projects of Gansu Province

Publisher

American Physical Society (APS)

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1. Generalized holographic complexity of rotating black holes;Journal of High Energy Physics;2024-09-10

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