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Thermodynamics of Lorentzian Taub-NUT spacetimes

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arxiv 1903.08668 v2 pith:2T22PKIC submitted 2019-03-20 hep-th gr-qc

Thermodynamics of Lorentzian Taub-NUT spacetimes

classification hep-th gr-qc
keywords thermodynamicschargeentropylorentziantaub-nutareaeuclideangiven
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The thermodynamics of the Taub-NUT solution has been predominantly studied in the Euclidean sector, upon imposing the condition for the absence of Misner strings. Such thermodynamics is quite exceptional: the periodicity of the Euclidean time is restricted and thence the NUT charge cannot be independently varied, the entropy is not equal to a quarter of the area, and the thermodynamic volume can be negative. In this paper we revisit this paradigm and study the thermodynamics of the Lorentzian Taub-NUT solution, maintaining (as recently shown relatively harmless) Misner strings. We argue that in order to formulate a full cohomogeneity first law where the NUT parameter can be independently varied, it is natural to introduce a new charge together with its conjugate quantity. We consider two scenarios: one in which the entropy is given by the Lorentzian version of the Noether charge, the other in which the entropy is given by the standard Bekenstein--Hawking area law. In both cases consistent thermodynamics with positive thermodynamic volume can be formulated.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries

    gr-qc 2026-06 unverdicted novelty 7.0

    Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature co...

  2. Memory effect from the scattering of Taub-NUT black holes

    hep-th 2026-03 conditional novelty 7.0

    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

  3. Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes

    hep-th 2026-06 unverdicted novelty 6.0

    Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.

  4. Gravielectric and gravimagnetic fluxes in nutty black holes

    gr-qc 2026-05 unverdicted novelty 6.0

    Misner strings carry singular gravielectric and gravimagnetic fluxes that connect horizons to infinity, explaining negative Komar masses as incoming field lines and showing the strings are massless empty tubes.

  5. Charged nutty black holes are hairy

    gr-qc 2026-02 unverdicted novelty 6.0

    Misner strings accompanying charged nutty black holes carry effective electric and magnetic charges via singular field flows with nonzero divergence, creating observable short-range electromagnetic hair.

  6. Equatorial Circular Motion of Charged Test Particles in a Weakly Magnetized Taub--NUT Background

    gr-qc 2026-05 unverdicted novelty 5.0

    Derives circularity and marginal stability conditions for charged particles in weakly magnetized Taub-NUT spacetime and finds that magnetic field strength monotonically decreases the ISCO radius with charge-dependent ...