Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity

Abstract

Using the new normalized thermodynamic scalar curvature, we investigate the microstructures and phase transitions of black holes in massive gravity for horizons of various topologies. We find that the graviton mass enhances the repulsive interactions of small black holes and weakens the attractive interactions of large black holes, with possiblity of new repulsive regions for microstructures in phase space. In addition, the repulsive interactions of small black hole are strong for spherical topology, followed by flat and hyperbolic topology; while, the attractive interactions of large black hole are strong for hyperbolic topology, followed by flat and weakest for spherical topology.

23 pages, 39 figures

References in corpus (26)

• The Confrontation between General Relativity and Experiment
• Resummation of Massive Gravity
• Massive Gravity in Three Dimensions
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Thermodynamics of Black Holes in Massive Gravity
• Degravitation of the Cosmological Constant and Graviton Width
• P-V criticality in the extended phase space of black holes in massive gravity
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Geometrothermodynamics of black holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• Heavy spin-2 Dark Matter
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Charged black holes in nonlinear massive gravity
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
• Modes of Log Gravity
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• Gravitational wave signal from massive gravity
• Phantom crossing and quintessence limit in extended nonlinear massive gravity
• Stability of Massive Gravity Solutions for Holographic Conductivity
• Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity

Cited by in corpus (25)

• Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
• Topology of nonlinearly charged black hole chemistry via massive gravity
• Dynamic properties of thermodynamic phase transition for five-dimensional neutral Gauss-Bonnet AdS black hole on free energy landscape
• Probing Phase Structure of Black Holes with Lyapunov Exponents
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• Thermal Fluctuations Evolution of the New Schwarzschild Black Hole
• Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Black Hole Chemistry: the first 15 years
• Novel relations in massive gravity at Hawking-Page transition
• Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism
• Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Fluctuations and thermodynamic geometry of the chiral phase transition
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Static spheres and Aschenbach effect for black holes in massive gravity
• Ruppeiner geometry, P-V criticality and interacting microstructures of black holes in dRGT massive gravity
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Topological charge and black hole photon spheres in massive gravity