Lyapunov exponents and phase transition of charged Ads black hole in quintessence
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915428678238208 |
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| author | Guo, Xiaobo Yang, Rui Liang, Yizhi Tao, Jun |
| author_facet | Guo, Xiaobo Yang, Rui Liang, Yizhi Tao, Jun |
| contents | This study investigates the phase transitions of RN-AdS black holes immersed in a quintessence field, employing Lyapunov exponents as a dynamical probe to characterize the thermodynamics of black hole. Incorporating quintessence dark energy into the RN-AdS framework, we find that the Lyapunov exponents for null and timelike geodesics display diminished chaotic behavior with increasing normalization factor of the quintessence field. This feature introduces a finite cutoff to the Lyapunov exponent of unstable circular photon orbits, setting it apart from RN-AdS black hole. At phase transition points, both the free energy and Lyapunov exponents display multivalued branches, reflecting the coexistence of distinct black hole phases. Furthermore, the discontinuity in the Lyapunov exponent can serve as an order parameter with a critical exponent of $1/2$ near the critical point, consistent with the thermodynamic criticality of van der Waals fluids.. These work suggest that Lyapunov exponents provide a framework for probing the thermodynamics of black holes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lyapunov exponents and phase transition of charged Ads black hole in quintessence Guo, Xiaobo Yang, Rui Liang, Yizhi Tao, Jun General Relativity and Quantum Cosmology This study investigates the phase transitions of RN-AdS black holes immersed in a quintessence field, employing Lyapunov exponents as a dynamical probe to characterize the thermodynamics of black hole. Incorporating quintessence dark energy into the RN-AdS framework, we find that the Lyapunov exponents for null and timelike geodesics display diminished chaotic behavior with increasing normalization factor of the quintessence field. This feature introduces a finite cutoff to the Lyapunov exponent of unstable circular photon orbits, setting it apart from RN-AdS black hole. At phase transition points, both the free energy and Lyapunov exponents display multivalued branches, reflecting the coexistence of distinct black hole phases. Furthermore, the discontinuity in the Lyapunov exponent can serve as an order parameter with a critical exponent of $1/2$ near the critical point, consistent with the thermodynamic criticality of van der Waals fluids.. These work suggest that Lyapunov exponents provide a framework for probing the thermodynamics of black holes. |
| title | Lyapunov exponents and phase transition of charged Ads black hole in quintessence |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.03519 |