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It is demonstrated that the generic four-dimensionalTaub-Newman-Unti-Tamburino (Taub-NUT) spacetimes can be perfectly described interms of three or four different kinds of thermodynamic hairs: the Komar mass($M = m$), the "angular momentum" ($J_n = mn$), the gravitomagnetic charge ($N= n$), and/or the dual (magnetic) mass ($\widetilde{M} = n$). In other words,the NUT charge is a thermodynamic multihair which means that it simultaneouslyhas both rotation-like and electromagnetic charge-like characteristics; this isin sharp contrast with the previous knowledge that it has only one physicalfeature, or that it is purely a single solution parameter. To arrive at thisnovel result, we put forward a simple, systematic way to investigate theconsistent thermodynamic first law and Bekenstein-Smarr mass formulas of allfour-dimensional spacetimes that contain a nonzero NUT charge, facilitated byfirst deriving a meaningful Christodoulou-Ruffini-type squared-mass formula. Inthis way, not only can the elegant Bekenstein-Hawking one-quarter area-entropyrelation be naturally restored in the Lorentzian and Euclidian sectors ofgeneric Taub-NUT-type spacetimes without imposing any constraint condition, butalso the physical meaning of the NUT parameter as a poly-facet can becompletely clarified in the thermodynamic sense for the first time.

Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes