Circular holonomy in the Taub-NUT spacetime
Donato Bini, Christian Cherubini, Robert T. Jantzen
TL;DR
This paper investigates how the gravitomagnetic monopole parameter in Taub-NUT spacetime affects the parallel transport and holonomy transformations around closed circular orbits, revealing insights into spacetime geometry.
Contribution
It provides a detailed analysis of circular holonomy in Taub-NUT spacetime, highlighting the influence of the gravitomagnetic monopole parameter on geometric properties.
Findings
Holonomy transformations are affected by the gravitomagnetic monopole parameter.
The boost/rotation decomposition of the connection reveals behavior similar to general stationary axisymmetric spacetimes.
The analysis extends understanding of parallel transport in spacetimes with gravitomagnetic monopoles.
Abstract
Parallel transport around closed circular orbits in the equatorial plane of the Taub-NUT spacetime is analyzed to reveal the effect of the gravitomagnetic monopole parameter on circular holonomy transformations. Investigating the boost/rotation decomposition of the connection 1-form matrix evaluated along these orbits, one finds a situation that reflects the behavior of the general orthogonally transitive stationary axisymmetric case and indeed along Killing trajectories in general.
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