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PreprintarXiv licencearXiv

Kerr-NUT Thermodynamics: Misner Strings and Nut Charges

  • Mohamed Tharwat
  • Adel Awad
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Abstract

Using the thermodynamic approach introduced in e-Print: 2206.09124 [hep-th] to the case of Kerr-NUT solution, we demonstrate the existence of a new conserved quantity that is dual to the angular momentum, in the same way that the nut charge "n" is dual to the mass "m". This quantity exists regardless of the presence of the Kerr rotation parameter a, but only affects its thermodynamics when a≠ 0. The thermodynamic quantities calculated together with the two charges Nc=cn and Nn=n lead to consistent thermodynamic relations. That is, the first law, Smarr's and Gibbs-Duhem relations are all satisfied.

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Cite

BibTeXRIS
BibTeX
@misc{tharwat2026kerrnut,
  title = {{Kerr-NUT Thermodynamics: Misner Strings and Nut Charges}},
  author = {Mohamed Tharwat and Adel Awad},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.01152},
  eprint = {2608.01152},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.01152},
}
RIS
TY  - UNPB
TI  - Kerr-NUT Thermodynamics: Misner Strings and Nut Charges
AU  - Mohamed Tharwat
AU  - Adel Awad
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2608.01152
UR  - https://arxiv.org/abs/2608.01152
AB  - Using the thermodynamic approach introduced in e-Print: 2206.09124 [hep-th] to the case of Kerr-NUT solution, we demonstrate the existence of a new conserved quantity that is dual to the angular momentum, in the same way that the nut charge "n" is dual to the mass "m". This quantity exists regardless of the presence of the Kerr rotation parameter a, but only affects its thermodynamics when a≠ 0. The thermodynamic quantities calculated together with the two charges N_c=cn and N_n=n lead to consistent thermodynamic relations. That is, the first law, Smarr's and Gibbs-Duhem relations are all satisfied.
ER  -