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Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole

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arxiv 2501.16999 v4 pith:CUSXMMUD submitted 2025-01-28 hep-th

Deyou Chen , Chuang Yang , Yongtao Liu This is my paper
classification hep-th
keywords exponentslyapunovblackholephasetimetransitionparticles
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In this letter, we study proper time Lyapunov exponents and coordinate time Lyapunov exponents of chaos for both massless and massive particles orbiting a four-dimensional Kerr-AdS black hole, and explore their relationships with the phase transition of this black hole. The result reveals that both types of Lyapunov exponents can reflect the occurrence of the phase transition. Specifically, when compared to the proper time and coordinate time Lyapunov exponents of massive particles in chaotic states, the exponents corresponding to massless particles demonstrate a more robust capability in describing the phase transition. Furthermore, we conduct a study on critical exponents associated with these Lyapunov exponents in this black hole, identifying a critical exponent value of 1/2.

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Cited by 5 Pith papers

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

  1. Unifying topological, geometric, and complex classifications of black hole thermodynamics

    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.

  2. Off-shell Hessian thermodynamic stability of higher-curvature black holes

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

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  3. Unifying topological, geometric, and complex classifications of black hole thermodynamics

    gr-qc 2026-04 conditional novelty 6.0 of 10

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  4. Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent

    gr-qc 2025-10 conditional novelty 5.0 of 10

    For charged regular AdS black holes in quasi-topological gravity, the null-geodesic Lyapunov exponent jumps at the first-order phase transition and its phase difference vanishes at the critical point with exponent 1/2...

  5. Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions

    gr-qc 2025-10 reject novelty 4.0 of 10

    For a nonminimally coupled magnetic AdS black hole, the Lyapunov exponent and QPO frequencies both reproduce the swallowtail branch structure of the Van der Waals-like thermodynamic phase transition.

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