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The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist

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arxiv hep-th/0703030 v1 pith:Z5HS5XLD submitted 2007-03-04 hep-th gr-qc

A.M. Ghezelbash , R.B. Mann , Rafael D. Sorkin This is my paper · ORCID
classification hep-thgr-qc
keywords parametersangularapproachesblackcharacterizedchargecombinationscontinuous
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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 $T dS=dM + \Omega dJ$, and thereby renders the first law true, false, meaningless, or tautological, depending on how one approaches it.

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Cited by 2 Pith papers

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  1. Newman-Janis Algorithm from Taub-NUT Instantons

    gr-qc 2024-12 conditional novelty 7.0 of 10

    The Kerr metric is shown to be the exact nonlinear superposition of two Taub-NUT instantons of opposite chirality, explaining the Newman-Janis algorithm.

  2. Incidence Relations for Self-Dual Black Holes

    hep-th 2026-08 conditional novelty 6.0 of 10

    Closed-form deformed incidence relations are constructed for Eguchi-Hanson, self-dual Taub-NUT, and self-dual Plebanski-Demianski spacetimes by resumming the Dunajski-Mason recursion in Plebanski coordinates.

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