Taub-NUT as Bertrand spacetime with magnetic fields

Sumanto Chanda, Partha Guha, Raju Roychowdhury

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations

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.

Original languageBritish English
Pages (from-to)33-67
Number of pages35
JournalJournal of Geometry and Symmetry in Physics
Volume41
DOIs
StatePublished - 2016

Keywords

  • Bertrand spacetime
  • Hyperkähler
  • Instanton
  • Killing tensor
  • Taub-NUT

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