Phase transition grade and microstructure of AdS black holes in massive gravity. (6th October 2022)

• Record Type: Journal Article
• Authors: Li, Guan-Ru; Li, Guo-Ping; Guo, Sen
• Is Part Of: Classical and quantum gravity. Volume 39:Number 19(2022)
• Publication Date: 2022-10-06
• Subjects: phase transition grade -- microstructure -- massive gravity; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ac8c7c
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: Considering that under the framework of the massive gravity theory, the interaction between the mass gravitons and Schwarzschild black hole (BH) could make it carry a scalar charge, the phase transition process caused by this scalar charge is investigated in this analysis. The phase transition grade and microstructure of those BHs are investigated from both macroscopic and microscopic points of view. From the macroscopic point of view, it is found that Ehrenfest equations are satisfied at the phase transition critical point, which implies that the phase transition grade of those BHs is second-order. Based on the BH molecules model and Landau continuous phase transition theory, the phase transition of those BHs from the microcosmic point of view is analyzed. The critical exponents obtained from the two perspectives are consistent. By investigating the Ruppeiner geometry, the microstructure feature of those BHs is revealed. These results suggest that the phase transition of BH in massive gravity is a standard second-order phase transition at the critical point, and the microscopic details of those BHs are different from the Reissner–Nordström AdS BH in standard Einstein gravity.