Taub-NUT as Bertrand spacetime with magnetic fields
High Energy Physics - Theory
2016-09-15 v4 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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 hyperk\"ahler structures and finally verify the existence of a graded Lie-algebra structure via Schouten-Nijenhuis brackets.
Cite
@article{arxiv.1503.08183,
title = {Taub-NUT as Bertrand spacetime with magnetic fields},
author = {Sumanto Chanda and Partha Guha and Raju Roychowdhury},
journal= {arXiv preprint arXiv:1503.08183},
year = {2016}
}
Comments
35 pages, contents and reference section modified, presentation improved, version to appear in JGSP, 35 pages