Abstract
Based on symmetries Taub-NUT shares with Bertrand spacetime, we cast it as the latter with magnetic fields. Its nature as a Bianchi-IX gravitational instanton and other related geometrical properties are reviewed. We provide an easy derivation and comparison between the spatial Killing-Yano tensors deduced from first-integrals and the corresponding hyperkähler structures and finally verify the existence of a graded Lie-algebra structure via Schouten-Nijenhuis brackets. The arguments of the energy of these four patterns are obtained based on the material symmetry group of the considered structures.
Citation
Sumanto Chanda. Partha Guha. Raju Raju. "Taub-NUT as Bertrand Spacetime with Magnetic Fields." J. Geom. Symmetry Phys. 41 33 - 67, 2016. https://doi.org/10.7546/jgsp-41-2016-33-67
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