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Thermodynamics of Taub-NUT-AdS Spactimes

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arxiv 2309.01609 v1 pith:XNDCDKPP submitted 2023-09-04 hep-th gr-qc

Jun-Fei Liu , Hai-Shan Liu This is my paper · ORCID
classification hep-thgr-qc
keywords generalisedmethodtaub-nut-adsconstantcosmologicalfirstkomarquantities
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We apply the generalised Komar method proposed in [arxiv:2208.05494] to Taub-NUT-AdS spacetime in the theory of Einstein gravity plus a cosmological constant. Based on a generalised closed 2-form, we derive the total mass and NUT charge of the Taub-NUT-AdS spacetime. Together with other thermodynamic quantities calculated through standard method, we conform the first law and Smarr relation. Then, we consider charged AdS NUTy spacetimes in Einstein-Maxwell theory with a cosmological constant, and show that the generalised Komar method works, too. We obtain all the thermodynamic quantities, and the first law and Smarr relation are checked to be satisfied automatically.

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  1. Taub-NUT-like Black Holes in Einstein-Bumblebee Gravity

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A new Taub-NUT-like black hole solution in Einstein-Bumblebee gravity is constructed, and its thermodynamics is shown to obey the first law and the Smarr relation.

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