Extended phase space thermodynamics for black holes in a cavity

• Main Authors: Peng Wang, Houwen Wu, Haitang Yang, Feiyu Yao
• Format: Article
• Language: English
• Published: SpringerOpen 2020-09-01
• Series: Journal of High Energy Physics
• Subjects: Black Holes; Classical Theories of Gravity
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2020)154

Abstract In this paper, we extend the phase space of black holes enclosed by a spherical cavity of radius r B to include V = 4 π r B 3 / 3 $$ V=4\pi {r}_B^3/3 $$ as a thermodynamic volume. The thermodynamic behavior of Schwarzschild and Reissner-Nordstrom (RN) black holes is then investigated in the extended phase space. In a canonical ensemble at constant pressure, we find that the aforementioned thermodynamic behavior is remarkably similar to that of the anti-de Sitter (AdS) counterparts with the cosmological constant being interpreted as a pressure. Specifically, a first-order Hawking-Page-like phase transition occurs for a Schwarzschild black hole in a cavity. The phase structure of a RN black hole in a cavity shows a strong resemblance to that of the van der Waals fluid. We also display that the Smarr relation has the same expression in both AdS and cavity cases. Our results may provide a new perspective for the extended thermodynamics of AdS black holes by analogy with black holes in a cavity.