View of thermodynamic phase transition of the charged Gauss—Bonnet AdS black hole via the shadow

doi:10.1088/1674-1056/ad225d

Abstract We examine thermodynamic phase transition (PT) of the charged Gauss—Bonnet AdS black hole (BH) by utilizing the shadow radius. In this system, we rescale the corresponding Gauss—Bonnet coefficient α by a factor of 1/(D-4), and ensure that α is positive to avoid any singularity problems. The equation derived for the shadow radius indicates that it increases as the event horizon radius increases, making it an independent variable for determining BH temperature. By investigating the PT curve in relation to shadows, we can observe that the shadow radius can be used as an alternative to the event horizon radius in explaining the phenomenon of BH PT. Furthermore, the results indicate that an increase in the parameter α corresponds to a decrease in the temperature of the BH. By utilizing the relationship between the temperature and the shadow radius, it is possible to obtain the thermal profile of the Gauss—Bonnet AdS BH. It is evident that there is an N-type variation in temperature for pressures P<P_c. Additionally, as the parameter α increases, the region covered by shadow expands while the temperature decreases. The utilization of BH shadows as a probe holds immense significance in gaining a deeper understanding of BH thermodynamic behavior.

Keywords: Gauss—Bonnet AdS black hole thermodynamic shadow

Received: 30 November 2023
Revised: 29 December 2023
Accepted manuscript online: 25 January 2024

PACS:	04.70.-s	(Physics of black holes)
	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	04.50.Kd	(Modified theories of gravity)

Fund: Project 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. cstc2022ycjh-bgzxm0161), and the Natural Science Foundation of Sichuan Province (Grant No. 2022NSFSC1833).

Corresponding Authors: Guo-Ping Li
E-mail: gpliphys@yeah.net

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Ke-Jian He(何柯腱), Sen Guo(郭森), Zhi Luo(罗智), and Guo-Ping Li(李国平) View of thermodynamic phase transition of the charged Gauss—Bonnet AdS black hole via the shadow 2024 Chin. Phys. B 33 040403

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View of thermodynamic phase transition of the charged Gauss—Bonnet AdS black hole via the shadow

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