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Lyapunov Exponents and Phase Transition of Hayward AdS Black Hole

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arxiv 2404.03947 v1 pith:47Y7MWNT submitted 2024-04-05 hep-th gr-qc

Naba Jyoti Gogoi , Saumen Acharjee , Prabwal Phukon This is my paper · ORCID
classification hep-thgr-qc
keywords lyapunovexponentsblackhaywardholecriticalfoundphase
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abstract

In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS black hole in the equatorial plane and calculate the corresponding Lyapunov exponents. The phase transition is found to be well described by the multivaled Lyapunov exponents. It is also found that different phases of Hayward AdS black hole coincide with different branches of the Lyapunov exponents. We also study the discontinuous change in the Lyapunov exponents and find that it can serve as an order parameter near the critical point. The critical exponent of change in Lyapunov exponent near the critical point is found to be $1/2$.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    gr-qc 2025-10 reject novelty 4.0 of 10

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    gr-qc 2025-09 conditional novelty 4.0 of 10

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  6. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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