The First Law for the Lorentzian Rotating Taub-NUT

Abstract

We show that the first law for the rotating Taub-NUT is straightforwardly established with the surface charge method. The entropy is explicitly found as a charge, and its value is not proportional to the horizon area. We conclude that there are unavoidable contributions from the Misner strings to the charges, still, the mass and angular momentum gets standard values. However, there are no independent charges associated with the Misner strings.

arXiv comment7 pages, 1 figure, (v2: minor improvements, appendix added)

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• Thermodynamics of Taub-NUT and Plebanski Solutions
• Black Hole Chemistry: the first 15 years
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• First law of black hole thermodynamics and the weak cosmic censorship conjecture for Kerr-Newman Taub-NUT black holes
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Ehlers, Carroll, Charges and Dual Charges
• Axial anomaly in nonlinear conformal electrodynamics
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
• Conical singularity in spacetimes with NUT is observer-dependent
• A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
• Dyonic Taub-NUT-AdS Spaces: Phase Structures of all Horizon Geometries
• The generalized second law for Kerr-Taub-NUT black holes perturbed by test field
• Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams