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PreprintarXiv licencearXiv

Taub-NUT as gravitational dyon with torsion

Abstract

We show that the Levi-Civita connection for the Taub-NUT metric is singular on Misner strings and generates an Einstein tensor containing the squares of the delta function. This can be improved by introducing torsion, in which case the Einstein tensor may be interpreted as that of a cosmic string with negative variable tension. Komar flows in Misner strings are generated by torsion, which is therefore responsible for the asymptotic Komar charges. The Taub-NUT metric then appears as a soliton supported by two spin-fluid beams.

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BibTeX
@misc{galtsov2026taubnut,
  title = {{Taub-NUT as gravitational dyon with torsion}},
  author = {Dmitri Gal'tsov and Rostom Karsanov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.25654},
  eprint = {2607.25654},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.25654},
}
RIS
TY  - UNPB
TI  - Taub-NUT as gravitational dyon with torsion
AU  - Dmitri Gal'tsov
AU  - Rostom Karsanov
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2607.25654
UR  - https://arxiv.org/abs/2607.25654
AB  - We show that the Levi-Civita connection for the Taub-NUT metric is singular on Misner strings and generates an Einstein tensor containing the squares of the delta function. This can be improved by introducing torsion, in which case the Einstein tensor may be interpreted as that of a cosmic string with negative variable tension. Komar flows in Misner strings are generated by torsion, which is therefore responsible for the asymptotic Komar charges. The Taub-NUT metric then appears as a soliton supported by two spin-fluid beams.
ER  -