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Chinese Physics C > 2022, Vol. 46 > Issue(9): 095101 DOI: 10.1088/1674-1137/ac6dc8

Shadow thermodynamics of an AdS black hole in regular spacetime

  • 1.

    Guangxi Key Laboratory for Relativistic Astrophysics, School of Physical Science and Technology, Guangxi University, Nanning 530004, China

  • 2.

    School of Physics and Astronomy, China West Normal University, Nanchong 637000, China

  • The dependence of the black hole (BH) shadow and thermodynamics may be structured in regular spacetime. Taking a regular Bardeen-AdS BH as an example, the relationship between the shadow radius and event horizon radius is derived. It is found that these two radii display a positive correlation, implying that the BH temperature can be rewritten as a function of shadow radius in regular spacetime. By analyzing the phase transition curves under the shadow context, we find that the shadow radius can replace the event horizon radius to present the BH phase transition process, and the phase transition grade can also be revealed by the shadow radius, indicating that the shadow radius may serve as a probe for phase structure in regular spacetime. Utilizing the temperature-shadow radius function, the thermal profile of the Bardeen-AdS BH is established. Moreover, the temperature exhibits an N-type change trend in the $ P situation. These results suggest that the phase transition process of a regular AdS BH can be completely presented in the thermal profile, and the relationship between the BH shadow and thermodynamics can also be established in regular spacetime.
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  • References

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Sen Guo, Guan-Ru Li and Guo-Ping Li. Shadow thermodynamics of AdS black hole in regular spacetime[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac6dc8
Sen Guo, Guan-Ru Li and Guo-Ping Li. Shadow thermodynamics of AdS black hole in regular spacetime[J]. Chinese Physics C. doi:10.1088/1674-1137/ac6dc8 shu
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Received: 2022-04-07
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    Shadow thermodynamics of an AdS black hole in regular spacetime

      Corresponding author:Guo-Ping Li,gpliphys@yeah.net, Corresponding author
    • 1. Guangxi Key Laboratory for Relativistic Astrophysics, School of Physical Science and Technology, Guangxi University, Nanning 530004, China
    • 2. School of Physics and Astronomy, China West Normal University, Nanchong 637000, China
    • Received Date:2022-04-07
    • Available Online:2022-09-15

      Abstract:The dependence of the black hole (BH) shadow and thermodynamics may be structured in regular spacetime. Taking a regular Bardeen-AdS BH as an example, the relationship between the shadow radius and event horizon radius is derived. It is found that these two radii display a positive correlation, implying that the BH temperature can be rewritten as a function of shadow radius in regular spacetime. By analyzing the phase transition curves under the shadow context, we find that the shadow radius can replace the event horizon radius to present the BH phase transition process, and the phase transition grade can also be revealed by the shadow radius, indicating that the shadow radius may serve as a probe for phase structure in regular spacetime. Utilizing the temperature-shadow radius function, the thermal profile of the Bardeen-AdS BH is established. Moreover, the temperature exhibits an N-type change trend in the $ P situation. These results suggest that the phase transition process of a regular AdS BH can be completely presented in the thermal profile, and the relationship between the BH shadow and thermodynamics can also be established in regular spacetime.

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        I. INTRODUCTION

        • Over the last several decades, abundant astronomical evidence for black holes (BH) has accumulated from various sources. The observations of gravitational waves emitted from BH mergers by the Laser-Interferometer Gravitational Wave-Observatory (LIGO) are the first evidence of the existence of BHs from astronomical observations [1]. The Event Horizon Telescope (EHT) reported an image of the supermassive BH in M87 $ ^{*} $ , offering direct evidence of BH existence in our universe [2–7]. The main feature of this image is that the BH event horizon is surrounded by a dark area known as a BH shadow with a bright ring-shaped lump of radiation surrounding the BH shadow. Based on the strong gravitational lensing, the formation mechanism of the BH shadow is as follows: the specific photons around a BH collapse inward to produce the shadow, indicating the shadow can reflect the information of the jets and matter dynamics around the compact objects [8]. The shadow can limit the mass, spin, charge, and other physical parameters of the BH, providing abundant sources of data information for new gravity theories [9–12].

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