Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes

Abstract

In this paper, via employing the uniformly modified form of the generalized off-shell Helmholtz free energy, we investigate the topological numbers for the four-dimensional neutral Lorentzian Taub-NUT, Taub-NUT-AdS and Kerr-NUT spacetimes, and find that these solutions can also be classified into one of three types of those well-known black hole solutions, which implies that these spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach.

19 pages, 6 figures, 1 table, to appear in EPJC

References in corpus (27)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Black Hole Solutions as Topological Thermodynamic Defects
• Topological classes of thermodynamics of rotating AdS black holes
• Topological Charge and Black Hole Photon Spheres
• Topology of black hole thermodynamics in Lovelock gravity
• Topological classes of rotating black holes
• Topology of critical points and Hawking-Page transition
• Revisiting thermodynamic topologies of black holes
• The topological natures of the Gauss-Bonnet black hole in AdS space
• Kinetics of a phase transition for a Kerr-AdS black hole on the free-energy landscape
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Generalized free energy landscape of black hole phase transition
• Topological Terms and the Misner String Entropy
• Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes
• Notes on thermodynamics of super-entropic AdS black holes
• General Smarr relation and first law of Nutty dyonic black hole
• Thermodynamics of Taub-NUT and Plebanski Solutions
• Mass, Action and Entropy of Taub-Bolt-dS Spacetimes
• NUT charges and black hole shadows
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Lorentzian Taub-NUT spacetimes: Misner string charges and the first law
• The First Law for the Lorentzian Rotating Taub-NUT
• Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
• Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics
• Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether Charge
• Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law
• Null hypersurface caustics for high dimensional superentropic black holes

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