Symmetries of Taub-NUT Dual Metrics
Dumitru Baleanu (1, 2), Sorin Codoban (1) ((1) Bogoliubov, LTPh,JINR, Dubna, Russia, (2) Institute for Space Sciences, Bucharest,, Romania)
TL;DR
This paper investigates the symmetries of dual Taub-NUT metrics, including generic, non-generic, and Runge-Lenz type symmetries, revealing cases where dual metrics share symmetries with the original Taub-NUT metric.
Contribution
It provides a detailed analysis of the symmetry structures of dual Taub-NUT metrics, highlighting cases of symmetry equivalence with the original metric.
Findings
Dual Taub-NUT metrics can share symmetries with the original Taub-NUT metric.
Existence of Runge-Lenz type symmetry in dual Taub-NUT metrics.
Symmetry properties vary between generic and non-generic cases.
Abstract
In this paper we study the symmetries of the dual Taub-NUT metrics. Generic and non-generic symmetries of dual Taub-NUT metrics are investigated. The existence of the Runge-Lenz type symmetry is analyzed for dual Taub-NUT metrics. We find that in some cases the symmetries of the dual metrics are the same with the symmetries of Taub-NUT metric.
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