Thermodynamic geometry of AdS black holes and black holes in a cavity
Peng Wang, Houwen Wu, Haitang Yang
Abstract
Abstract The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner–Nordstrom-AdS black hole and a Reissner–Nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble. Although the phase structure and critical behavior of both cases show striking resemblance, we find that there exist significant differences between the thermodynamic geometry of these two cases. Our results imply that there may be a connection between the black hole microstates and its boundary condition.
Topics & Concepts
PhysicsBlack hole (networking)GeometryThermodynamic systemThermodynamic equilibriumBoundary (topology)Connection (principal bundle)Extremal black holePhase (matter)Classical mechanicsThermodynamic processWhite holeCritical phenomenaBlack hole thermodynamicsSpin-flipComplex geometryBoundary value problemMaterial propertiesCanonical ensembleBlack boxThermodynamic betaPhase transitionTheoretical physicsBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsNoncommutative and Quantum Gravity Theories