Abstract
Generalising expressions given by Komar, we give precise definitions of gravitational mass and solitonic NUT charge and we apply these to the description of a class of Minkowski-signature multi-Taub–NUT solutions without rod singularities. A Wick rotation then yields the corresponding class of Euclidean-signature gravitational multi-instantons.
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Acknowledgments
We thank J. Bičák and A. Kleinschmidt for discussions. The research of K.S.S. was supported in part by the EU under contract MRTN-CT-2004-005104, by the STFC under rolling grant PP/D0744X/1 and by the Alexander von Humboldt Foundation through the award of a Research Prize. K.S.S. would like to thank the Albert Einstein Institute and CERN for hospitality during the course of the work.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Bossard, G., Nicolai, H. & Stelle, K.S. Gravitational multi-NUT solitons, Komar masses and charges. Gen Relativ Gravit 41, 1367–1379 (2009). https://doi.org/10.1007/s10714-008-0720-7
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DOI: https://doi.org/10.1007/s10714-008-0720-7