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Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes

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arxiv 2204.01007 v2 pith:XJIZRWL5 submitted 2022-04-03 hep-th

Yun-Zhi Du , Huai-Fan Li , Fang Liu , Li-Chun Zhang This is my paper · ORCID
classification hep-th
keywords parameterphotonblackcriticalimpactphaseradiussphere
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abstract

In this work, we investigate the relationship between the photon sphere radius and the first-order phase transition for the charged EPYM AdS black hole. Through the analysis, we find with a certain condition there exist the non-monotonic behaviors between the photon sphere radius, the impact parameter, the non-linear YM charge parameter, temperature, and pressure. And both the changes of photon sphere radius and impact parameter before and after phase transition can be regarded as the order parameter, their critical exponents near the critical point are equal to the same value $1/2$, just like the ordinary thermal systems. These indicate that there maybe exists a universal relationship of gravity nearby the critical point for a black hole thermodynamical system. Furthermore, the effect of impact parameter on the deflect angle is also investigated.

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Cited by 3 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. Black Hole Thermodynamics via Tsallis Statistical Mechanics

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.

  3. 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.

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