The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist

Abstract

We study the solutions of the Euclidean-signature Einstein equations (gravitational instantons) whose line-element takes the Kerr-bolt form, characterized by three real parameters: a size, a NUT charge, and a spin rate. The exclusion of singularities eliminates most combinations of these parameters, leaving only separated solution-manifolds between which continuous transitions are impossible (The angular velocity divided by the temperature is forced to be a rational multiple of $2\pi$). This ``quantization'' prevents the free variations presupposed by an equation like $TdS=dM+\Omega dJ$, and thereby renders the first law true, false, meaningless, or tautological, depending on how one approaches it.

26 pages, 3 figures

References in corpus (4)

• Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• Mass, Action and Entropy of Taub-Bolt-dS Spacetimes
• A Note on the Instability of Lorentzian Taub-NUT-Space

Cited by in corpus (11)

• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Black Holes in Klein Space
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• On the Smarr formulas for electrovac spacetimes with line singularities
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Magnetized Kerr-Newman-Taub-NUT spacetimes
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity
• Higher-Curvature Gravity, Black Holes and Holography
• Meissner effect and holographic dual for the Melvin-Kerr-Newman-Taub-NUT spacetimes
• Newman-Janis Algorithm from Taub-NUT Instantons