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Probing Phase Structure of Black Holes with Lyapunov Exponents

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arxiv 2205.02122 v2 pith:XG2KVYXW submitted 2022-05-04 gr-qc hep-th

Xiaobo Guo , Yuhang Lu , Benrong Mu , Peng Wang This is my paper · ORCID
classification gr-qchep-th
keywords exponentslyapunovblackphaseholesconjecturecriticalhole
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abstract

We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for Reissner-Nordstr\"{o}m-AdS black holes. When a phase transition occurs, the Lyapunov exponents become multivalued, and branches of the Lyapunov exponents coincide with black hole phases. Moreover, the discontinuous change in the Lyapunov exponents can be treated as an order parameter, and has a critical exponent of $1/2$ near the critical point. Our findings reveal that Lyapunov exponents can be an efficient tool to study phase structure of black holes.

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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

  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. 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...

  3. Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals

    gr-qc 2026-07 reject novelty 4.0 of 10

    Gravitational-wave imprints are computed for trapped orbits in a conformal-anomaly-corrected black hole spacetime, but the chaotic motion is produced by an external harmonic potential rather than the anomaly itself.

  4. Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions

    gr-qc 2025-09 conditional novelty 4.0 of 10

    Gaussian curvature at the light ring inherits the swallowtail multivaluedness of free energy in first-order black hole phase transitions, following directly from K = -λ².

  5. 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.

  6. Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    hep-th 2025-05 conditional novelty 4.0 of 10

    Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.

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