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Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent

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arxiv 2312.11912 v1 pith:RJINDX5L submitted 2023-12-19 gr-qc

Xin Lyu , Jun Tao , Peng Wang This is my paper · ORCID
classification gr-qc
keywords blackexponentlyapunovholeschargedholepropertiesreveal
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In this paper, we investigate the thermodynamic properties of charged AdS Gauss-Bonnet black holes and the associations with the Lyapunov exponent. The chaotic features of the black holes and the isobaric heat capacity characterized by Lyapunov exponent are studied to reveal the stability of black hole phases. With the consideration of both timelike and null geodesic, we find the relationship between Lyapunov exponent and Hawking temperature can fully embody the feature of the Small/Large phase transition and the triple point even further. Then we briefly reveal the properties of Lyapunov exponent as an order parameter and explore the black hole shadow with it.

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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. Topological perspective on bulk boundary thermodynamic equivalence

    hep-th 2025-12 conditional novelty 6.0 of 10

    A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.

  3. 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...

  4. 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.

  5. 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.

  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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