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Complexity Growth, Butterfly Velocity and Black hole Thermodynamics

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arxiv 1711.09749 v3 pith:6DBQBEJH submitted 2017-11-27 hep-th gr-qc

Seyed Ali Hosseini Mansoori , Mohammad M. Qaemmaqami This is my paper · ORCID
classification hep-thgr-qc
keywords blackbutterflycomplexitygrowthvelocityholeratethermodynamics
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We propose a connection between the butterfly velocity and the complexity growth rate in the context of thermodynamics of black holes where the cosmological constant is interpreted as thermodynamic pressure. According to the Smarr formula of black hole systems, there are different relations between butterfly velocity and complexity growth rate. The accuracy of this relationship has been checked for several models.

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  1. Time dependence of complexity for Lovelock black holes

    hep-th 2019-08 conditional novelty 6.0 of 10

    For Lovelock black holes, the Complexity=Action growth rate at late times is a coupling-independent multiple of the mass, and the Schwarzschild limit is recovered only up to a constant under the authors' boundary-term...

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