Circular holonomy in the Taub-NUT spacetime

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.

9 pages, LaTeX iopart class, no figures

References in corpus (3)

• The Many Faces of Gravitoelectromagnetism
• The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes
• The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations

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• NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity
• Exactly solvable deformations of the oscillator and Coulomb systems and their generalization