https://doi.org/10.1140/epjp/s13360-024-05358-x
Regular Article
Mutual correlation and butterfly effect of charged Reissner-Nordström AdS black hole with quintessence
1
College of Physics Science and Technology, Shenyang Normal University, 110034, Shenyang, China
2
School of Electric Power, Shenyang Institute of Engineering, 110136, Shenyang, China
Received:
11
February
2024
Accepted:
12
June
2024
Published online:
5
July
2024
In this article, based on shock geometry and chaos theory, we mainly study the butterfly effect of the Reissner-Nordström AdS black hole (RN-AdS black hole) with quintessence by the method of mutual correlation, and obtain many results worthy of in-depth analysis. Under static condition, our analysis of mutual correlation reveals an inverse relationship: as the charge value increases, the correlation decreases, which means that the presence of charge can break mutual correlation between the two sub-regions. Furthermore, when we introduce a small disturbance at the AdS boundary, after a long period of time, it forms a dynamic shock wave geometry. In dynamic condition, we find that the larger the translation is, the smaller the mutual correlation is. When the translation is large enough, the mutual correlation disappears and there is no correlation between the boundary regions of the two subsystems. The mutual correlation decreases with the increase of charge, which is consistent with the conclusion in the static background. In addition, we discuss how the quintessence dark energy parameter affects the mutual correlation. The results show that the mutual correlation in the case of quintessence becomes smaller compared to the case in the absence of quintessence dark energy, and the mutual correlation values decrease with the increase of dark energy. The research results indicate that the black hole with quintessence has the butterfly effect.
M. Zhang, B.-Q. Zhang, D.-J. Qi, H.-L. Li have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
