中国物理B ›› 2023, Vol. 32 ›› Issue (8): 80401-080401.doi: 10.1088/1674-1056/acc806

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Shadow thermodynamics of AdS black hole with the nonlinear electrodynamics term

He-Bin Zheng(郑何斌), Ping-Hui Mou(牟平辉), Yun-Xian Chen(陈芸仙), and Guo-Ping Li(李国平)†   

  1. School of Physics and Astronomy, China West Normal University, Nanchong 637000, China
  • 收稿日期:2023-02-08 修回日期:2023-03-07 接受日期:2023-03-28 发布日期:2023-07-26
  • 通讯作者: Guo-Ping Li E-mail:gpliphys@yeah.net
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant No.11903025), the Starting Fund of China West Normal University (Grant No.18Q062), the Sichuan Youth Science and Technology Innovation Research Team (Grant No.21CXTD0038), the Chongqing Science and Technology Bureau (Grant No.csts2022ycjh-bgzxm0161), and the Natural Science Foundation of Sichuan Province (Grant No.2022NSFSC1833).

Shadow thermodynamics of AdS black hole with the nonlinear electrodynamics term

He-Bin Zheng(郑何斌), Ping-Hui Mou(牟平辉), Yun-Xian Chen(陈芸仙), and Guo-Ping Li(李国平)†   

  1. School of Physics and Astronomy, China West Normal University, Nanchong 637000, China
  • Received:2023-02-08 Revised:2023-03-07 Accepted:2023-03-28 Published:2023-07-26
  • Contact: Guo-Ping Li E-mail:gpliphys@yeah.net
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant No.11903025), the Starting Fund of China West Normal University (Grant No.18Q062), the Sichuan Youth Science and Technology Innovation Research Team (Grant No.21CXTD0038), the Chongqing Science and Technology Bureau (Grant No.csts2022ycjh-bgzxm0161), and the Natural Science Foundation of Sichuan Province (Grant No.2022NSFSC1833).

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摘要： We creatively employ the shadow radius to study the thermodynamics of a charged AdS black hole with a nonlinear electrodynamics (NLED) term. First, the connection between the shadow radius and event horizon is constructed with the aid of the geodesic analysis. It turns out that the black hole shadow radius shows a positive correlation as a function of the event horizon radius. Then in the shadow context, we find that the black hole temperature and heat capacity can be presented by the shadow radius. Further analysis shows that the shadow radius can work similarly to the event horizon in revealing black hole phase transition process. In this sense, we construct the thermal profile of the charged AdS black hole with inclusion of the NLED effect. In the P<Pc case, it is found that the N-type trend of the temperature given by the shadow radius is always consistent with that obtained by using the event horizon. Thus, we can conclude for the charged AdS black hole that the phase transition process can be intuitively presented as the thermal profile in the shadow context. Finally, the effects of NLED are carefully analyzed.

关键词: AdS black hole, the nonlinear electrodynamics, shadow thermodynamics

Abstract: We creatively employ the shadow radius to study the thermodynamics of a charged AdS black hole with a nonlinear electrodynamics (NLED) term. First, the connection between the shadow radius and event horizon is constructed with the aid of the geodesic analysis. It turns out that the black hole shadow radius shows a positive correlation as a function of the event horizon radius. Then in the shadow context, we find that the black hole temperature and heat capacity can be presented by the shadow radius. Further analysis shows that the shadow radius can work similarly to the event horizon in revealing black hole phase transition process. In this sense, we construct the thermal profile of the charged AdS black hole with inclusion of the NLED effect. In the P<Pc case, it is found that the N-type trend of the temperature given by the shadow radius is always consistent with that obtained by using the event horizon. Thus, we can conclude for the charged AdS black hole that the phase transition process can be intuitively presented as the thermal profile in the shadow context. Finally, the effects of NLED are carefully analyzed.

Key words: AdS black hole, the nonlinear electrodynamics, shadow thermodynamics

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
04.50.Kd (Modified theories of gravity) 04.70.-s (Physics of black holes)