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A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime

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arxiv 2505.15349 v2 pith:3IWFTLPT submitted 2025-05-21 gr-qc hep-th

Gabriele Barbagallo , José Luis V. Cerdeira , Carmen Gómez-Fayrén , Tomás Ortín This is my paper
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It has recently been shown that one can derive consistent thermodynamical expressions in the Lorentzian Taub--NUT spacetime keeping the Misner-string singularities and taking into account their contributions in the Komar integrals. We show how the same results are obtained when the Mister-string singularities are removed by using Misner's procedure because, even though the complete spacetime has no such singularities anymore, they are unavoidable in all spacelike hypersurfaces which are used in the Komar integrals. Different choices of hypersurfaces may contain different strings and lead to different physics, though.

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  1. The Komar charge in presence of the Holst term and the gravitational Witten effect

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Holst term shifts the Komar mass of Taub-NUT space by -αN, giving a gravitational analog of the Witten effect.

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