Taub-NUT from the Dirac monopole. (English) Zbl 1434.83024
Summary: Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically flat spacetimes, including stationary solutions, contains a Maxwell gauge field as free data. Choosing this gauge field to correspond to the Dirac monopole, we derive the Taub-NUT solution in Bondi coordinates.
MSC:
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
References:
| [1] | Bishop, N. T.; Rezzolla, L., Extraction of gravitational waves in numerical relativity, Living Rev. Relativ., 19, 2, Oct 2016 · Zbl 1366.83020 |
| [2] | Strominger, A., Lectures on the infrared structure of gravity and gauge theory · Zbl 1408.83003 |
| [3] | Compère, G.; Fiorucci, A., Advanced lectures on general relativity · Zbl 1419.83003 |
| [4] | Godazgar, H.; Godazgar, M.; Pope, C. N., New dual gravitational charges, Phys. Rev. D, 99, 2, Article 024013 pp., 2019 · Zbl 1427.83015 |
| [5] | Godazgar, H.; Godazgar, M.; Pope, C. N., Tower of subleading dual BMS charges, J. High Energy Phys., 03, Article 057 pp., 2019 · Zbl 1414.83054 |
| [6] | Kol, U.; Porrati, M., Properties of dual supertranslation charges in asymptotically flat spacetimes |
| [7] | Godazgar, H.; Godazgar, M.; Pope, C. N., Dual gravitational charges and soft theorems · Zbl 1427.83015 |
| [8] | Winicour, J., Characteristic evolution and matching, Living Rev. Relativ., 12, 3, Apr 2009 · Zbl 1166.83300 |
| [9] | Monteiro, R.; O’Connell, D.; White, C. D., Black holes and the double copy, J. High Energy Phys., 12, Article 056 pp., 2014 · Zbl 1333.83048 |
| [10] | Luna, A.; Monteiro, R.; O’Connell, D.; White, C. D., The classical double copy for Taub-NUT spacetime, Phys. Lett. B, 750, 272-277, 2015 · Zbl 1364.83005 |
| [11] | Godazgar, H.; Godazgar, M.; Pope, C. N., Subleading BMS charges and fake news near null infinity, J. High Energy Phys., 01, Article 143 pp., 2019 · Zbl 1409.83012 |
| [12] | Sachs, R. K., Gravitational waves in general relativity: 8. Waves in asymptotically flat space-times, Proc. R. Soc. Lond. A, 270, 103-126, 1962 · Zbl 0101.43605 |
| [13] | Bondi, H.; van der Burg, M. G.J.; Metzner, A. W.K., Gravitational waves in general relativity: 7. Waves from axisymmetric isolated systems, Proc. R. Soc. Lond. A, 269, 21-52, 1962 · Zbl 0106.41903 |
| [14] | Stephani, H.; Kramer, D.; MacCallum, M. A.H.; Hoenselaers, C.; Herlt, E., Exact Solutions of Einstein’s Field Equations, Cambridge Monographs on Mathematical Physics, 2003, Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 1057.83004 |
| [15] | Bordo, A. B.; Gray, F.; Hennigar, R. A.; Kubiznak, D., The first law for rotating NUTs · Zbl 1434.83021 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
