English

Complexity Growth, Butterfly Velocity and Black hole Thermodynamics

High Energy Physics - Theory 2020-07-09 v3 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.1711.09749,
  title  = {Complexity Growth, Butterfly Velocity and Black hole Thermodynamics},
  author = {Seyed Ali Hosseini Mansoori and Mohammad M. Qaemmaqami},
  journal= {arXiv preprint arXiv:1711.09749},
  year   = {2020}
}

Comments

10 pages, 1 figure, major changes, to be appeared in AOP (Annals of physics)