Topology of nonlinearly charged black hole chemistry via massive gravity

Abstract

The classification of critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity is accomplished within the framework of black hole chemistry (BHC). Considering the grand canonical ensemble (GCE), we show that $d=4$ black hole have only one topological class, whereas $d\ge 5$ black holes belong to two different topology classes. Furthermore, the conventional critical point characterized by negative topological charge coincides with the maximum extreme point of temperature; and the novel critical point featuring opposite topological charge corresponds to the minimum extreme point of temperature. With increasing pressure, new phases emerge at the novel critical point while disappear from the conventional one. Moreover, a atypical van der Waals (vdW) behavior is found in $d\ge 6$ dimensions, and the anomaly disappears at the traditional critical point. In the limit of nonlinearity parameter $s\to 1$, different topology classes are only obtained in the GCE and they may not exist within the canonical ensemble. With the absence of electric potential $\Phi$, the neutral TBHs share the same topological classification results as the charged TBHs in the GCE of Maxwell-massive gravity.

16 pages,22 figures

References in corpus (15)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Resummation of Massive Gravity
• Thermodynamics of Black Holes in Massive Gravity
• Superfluid Black Holes
• CP Violation in Leptonic Rare $B_s^0$ Decays as a Probe of New Physics
• Topology of critical points and Hawking-Page transition
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Revisiting thermodynamic topologies of black holes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• Rotating black holes in massive gravity
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble

Cited by in corpus (26)

• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
• Thermodynamic topology of black Holes in f(R) gravity
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Universal thermodynamic topological classes of rotating black holes
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Bulk-boundary and RPS Thermodynamics from Topology perspective
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Thermodynamic topology of topological charged dilatonic black holes
• Black Hole Chemistry: the first 15 years
• Exploring the Phase Transition in Charged Gauss-Bonnet Black Holes: A Holographic Thermodynamics Perspectives
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Topology of black hole thermodynamics via Rényi statistics
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Novel topological subclass in Hourava-Lifshitz black holes
• Topology of black hole thermodynamics: A brief review
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• Universal thermodynamic topological classes of the charged dRGT black string