Ruppeiner geometry of the RN-AdS black hole using shadow formalism
Chao Wang, Bin Wu, Zhen-Ming Xu, Wen‐Li Yang
Abstract
The connection between the shadow radius and the Ruppeiner geometry of a charged static spherically symmetric black hole is investigated. The normalized curvature scalar is adopted, and its close relation to the Van der Waals-like and Hawking-Page phase transition of the Reissner-Nordström AdS black hole is studied. The results show that the shadow radius is a useful tool to reveal the correct information of the phase structure and the underlying microstructure of the black hole, which opens a new window to investigate the strong gravity system from the observational point of view.
Topics & Concepts
PhysicsBlack hole (networking)CurvatureGeometryGravitationScalar curvatureBlack hole thermodynamicsFormalism (music)Mathematical physicsClassical mechanicsEntropy (arrow of time)Quantum mechanicsMathematicsVisual artsMusicalRouting (electronic design automation)Computer scienceRouting protocolComputer networkLink-state routing protocolArtBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsCosmology and Gravitation Theories