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Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes

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arxiv 2304.01877 v1 pith:DOELH23A submitted 2023-04-04 gr-qc

classification gr-qc
keywords exponentslyapunovphaseblackborn-infeldcriticalholestransitions
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abstract

In this paper, we characterize the phase transitons of Born-Infeld AdS black holes in terms of Lyapunov exponents. We calculate the Lyapunov exponents for both null and timelike geodesics. It is found that black hole phase transitions can be described by multiple-valued Lyapunov exponents. And its phase diagram can be characterized by Lyapunov exponents and Hawking temperature. Besides, the change of Lyapunov exponents can be considered as order parameter, and exists a critical exponent $1/2$ near critical point.

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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

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

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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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