Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole

Bogeun Gwak, Naoto Kan, Bum Hoon Lee, Hocheol Lee

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23 Scopus citations

Abstract

We investigate the conjectured bound on the Lyapunov exponent for a charged particle with angular motion in the Kerr-Newman-AdS black hole. The Lyapunov exponent is calculated based on the effective Lagrangian. We show that the negative cosmological constant reduces the chaotic behavior of the particle, namely, it decreases the Lyapunov exponent. Hence, the bound is more effective in the AdS spacetime than in the flat spacetime. Nevertheless, we find that the bound can be violated when the angular momenta of the black hole are turned on. Moreover, we show that in an extremal black hole, the bound is more easily violated compared to that in a nonextremal black hole.

Original languageEnglish
Article number26
JournalJournal of High Energy Physics
Volume2022
Issue number9
DOIs
StatePublished - Sep 2022

Keywords

  • AdS-CFT Correspondence
  • Black Holes
  • Black Holes in String Theory

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