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The First Law for Rotating NUTs

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arxiv 1905.06350 v2 pith:PXFMABLM submitted 2019-05-15 hep-th gr-qc

Alvaro Ballon Bordo , Finnian Gray , Robie A. Hennigar , David Kubiznak This is my paper · ORCID
classification hep-thgr-qc
keywords misnerfirstrotatingstringsaddressallowsangularasymmetric
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We address a long-standing problem of describing the thermodynamics of rotating Taub--NUT solutions. The obtained first law is of full cohomogeneity and allows for asymmetric distributions of Misner strings as well as their potential variable strengths---encoded in the gravitational Misner charges. Notably, the angular momentum is no longer given by the Noether charge over the sphere at infinity and picks up non-trivial contributions from Misner strings.

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Cited by 6 Pith papers

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

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

    hep-th 2026-03 conditional novelty 7.0 of 10

    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.

  2. On the Smarr formulas for electrovac spacetimes with line singularities

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The authors derive Smarr mass formulas for stationary axisymmetric Einstein-Maxwell spacetimes with line singularities, including NUT-charged Kerr-NUT and Kerr-Newman-NUT solutions.

  3. The Role of the Volume in Black Hole Thermodynamics

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geo...

  4. Taub-NUT from the Dirac monopole

    hep-th 2019-08 conditional novelty 5.0 of 10

    Choosing the Bondi gauge field C0 to be a Dirac monopole yields the Taub-NUT metric in Bondi coordinates.

  5. Kerr-NUT Thermodynamics: Misner Strings and Nut Charges

    gr-qc 2026-08 conditional novelty 4.0 of 10

    A conserved charge built from the nut parameter and the Misner string parameter completes the first law of Kerr-NUT thermodynamics.

  6. The first law of black hole thermodynamics for Taub-NUT spacetime

    gr-qc 2019-08 conditional novelty 4.0 of 10

    The NUT parameter n is reinterpreted as producing rotation along Misner strings, giving a modified first law dM = T d(A/4G) + (1/n)d(Mn) - (1/(2n))d(nr+/G) for Lorentzian Taub-NUT spacetime.

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