A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908408444092416 |
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| author | Barbagallo, Gabriele Cerdeira, José Luis V. Gómez-Fayrén, Carmen Ortín, Tomás |
| author_facet | Barbagallo, Gabriele Cerdeira, José Luis V. Gómez-Fayrén, Carmen Ortín, Tomás |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_15349 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime Barbagallo, Gabriele Cerdeira, José Luis V. Gómez-Fayrén, Carmen Ortín, Tomás General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | A note on the calculation of the Komar integral in the Lorentzian Taub-NUT spacetime |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.15349 |