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Thermodynamics of Taub-NUT and Plebanski Solutions

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arxiv 2208.05494 v3 pith:BSCKWJMA submitted 2022-08-10 gr-qc hep-th

Hai-Shan Liu , H. Lu , Liang Ma This is my paper · ORCID
classification gr-qchep-th
keywords stringsblackmisneractionchargeeuclideanfindformalism
verification ladder T0 review T1 audit T2 compute T3 formal

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We observe the parallel between the null Killing vector on the horizon and degenerate Killing vectors at both north and south poles in Kerr-Taub-NUT and general Plebanski solutions. This suggests a correspondence between the pairs of the angular momentum/velocity and the NUT charge/potential. We treat the time as a real line such that the Misner strings are physical. We find that the NUT charge spreads along the Misner strings, analogous to that the mass in the Schwarzschild black hole sits at its spacetime singularity. We develop procedures to calculate all the thermodynamic quantities and we find that the results are consistent with the first law (Wald formalism), the Euclidean action and the Smarr relation. We also apply the Wald formalism, the Euclidean action approach, and the (generalized) Komar integration to the electric and magnetic black holes in a class of EMD theories, and also to boosted black strings and Kaluza-Klein monopoles in five dimensions, to gain better understandings of how to deal with the subtleties associated with Dirac and 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. New Rotating Black Hole in Electromagnetic Fields: Cosmological Horizon without Cosmological Constant

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    New exact Kerr black hole solution in an electromagnetic background spacetime that includes a cosmological horizon without a cosmological constant.

  2. Charged Taub-NUT type Black Holes in Einstein-Weyl-Maxwell Theory

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Charged Taub-NUT black holes in Einstein-Weyl-Maxwell theory are numerically built and show three disconnected solution branches, unlike their intersecting neutral counterparts.

  3. Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole

    hep-th 2024-11 conditional novelty 6.0 of 10

    The 4-derivative corrections to Kerr-Newman multipole moments depend only on field-redefinition-invariant couplings, and parity-odd terms turn on multipole moments that vanish in Einstein-Maxwell theory.

  4. Extremal Kerr-Schild Form

    gr-qc 2024-11 conditional novelty 5.0 of 10

    A non-extremal black hole can be written exactly as its extremal limit plus a linear-in-mass term built from a single null vector, for a wide class of known solutions.

  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. Taub-NUT-like Black Holes in Einstein-Bumblebee Gravity

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A new Taub-NUT-like black hole solution in Einstein-Bumblebee gravity is constructed, and its thermodynamics is shown to obey the first law and the Smarr relation.

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