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.

arXiv comment26 pages, 3 figures

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Cited by in corpus (19)

• Kerr-Bolt Spacetimes and Kerr/CFT Correspondence
• The First Law for Rotating NUTs
• Rod-structure classification of gravitational instantons with U(1)xU(1) isometry
• NUTs and bolts beyond Lovelock
• 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
• Thermodynamics of accelerating and rotating black holes
• 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
• Killing-Yano tensor and supersymmetry of the self-dual Plebanski-Demianski solution
• Hawking radiation of scalars from charged accelerating and rotating black holes with NUT parameter
• A pair of extremal charged black holes on Kerr-Taub-bolt space
• Meissner effect and holographic dual for the Melvin-Kerr-Newman-Taub-NUT spacetimes
• Higher-Curvature Gravity, Black Holes and Holography
• Newman-Janis Algorithm from Taub-NUT Instantons