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PreprintCC BY 4.0arXiv

Thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity

  • Borja Diez
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Abstract

We study the thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity in arbitrary even dimensions, constructed as U(1) fibrations over Einstein-Kähler base manifolds. We compute the temperature from the surface gravity and the energy as the conserved charge associated with the stationary Killing vector using the off-shell Abbott-Deser-Tekin formalism. Within the same framework, we obtain the entropy as a horizon Noether charge. The result agrees with the Iyer-Wald formula and includes a Gauss-Bonnet correction to the Bekenstein-Hawking area law. Retaining the Misner strings whenever present, we formulate a first law of full cohomogeneity in which the NUT parameter varies independently of the horizon radius. This requires an additional NUT-related thermodynamic variable and its conjugate potential, which we determine explicitly. We also briefly discuss the static limit.

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Cite

BibTeXRIS
BibTeX
@misc{diez2026thermodynamics,
  title = {{Thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity}},
  author = {Borja Diez},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.13036},
  eprint = {2609.13036},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13036},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity
AU  - Borja Diez
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.13036
UR  - https://arxiv.org/abs/2609.13036
AB  - We study the thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity in arbitrary even dimensions, constructed as U(1) fibrations over Einstein-Kähler base manifolds. We compute the temperature from the surface gravity and the energy as the conserved charge associated with the stationary Killing vector using the off-shell Abbott-Deser-Tekin formalism. Within the same framework, we obtain the entropy as a horizon Noether charge. The result agrees with the Iyer-Wald formula and includes a Gauss-Bonnet correction to the Bekenstein-Hawking area law. Retaining the Misner strings whenever present, we formulate a first law of full cohomogeneity in which the NUT parameter varies independently of the horizon radius. This requires an additional NUT-related thermodynamic variable and its conjugate potential, which we determine explicitly. We also briefly discuss the static limit.
ER  -