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We apply the generalised Komar method proposed in [arxiv:2208.05494] toTaub-NUT-AdS spacetime in the theory of Einstein gravity plus a cosmologicalconstant. Based on a generalised closed 2-form, we derive the total mass andNUT charge of the Taub-NUT-AdS spacetime. Together with other thermodynamicquantities calculated through standard method, we conform the first law andSmarr relation. Then, we consider charged AdS NUTy spacetimes inEinstein-Maxwell theory with a cosmological constant, and show that thegeneralised Komar method works, too. We obtain all the thermodynamicquantities, and the first law and Smarr relation are checked to be satisfiedautomatically.

Thermodynamics of Taub-NUT-AdS Spactimes