Open Access
2016 Taub-NUT as Bertrand Spacetime with Magnetic Fields
Sumanto Chanda, Partha Guha, Raju Raju
J. Geom. Symmetry Phys. 41: 33-67 (2016). DOI: 10.7546/jgsp-41-2016-33-67


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.


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Sumanto Chanda. Partha Guha. Raju Raju. "Taub-NUT as Bertrand Spacetime with Magnetic Fields." J. Geom. Symmetry Phys. 41 33 - 67, 2016.


Published: 2016
First available in Project Euclid: 31 May 2017

zbMATH: 1378.37097
MathSciNet: MR3585165
Digital Object Identifier: 10.7546/jgsp-41-2016-33-67

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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