Holonomy and gravitomagnetism

Roy Maartens*, Bahram Mashhoon, David R. Matravers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We analyse parallel transport of a vector field around an equatorial orbit in the Kerr and stationary axisymmetric spacetimes that are reflection symmetric about their equatorial planes. As in the Schwarzschild spacetime, there is a band structure of holonomy invariance. The new feature introduced by rotation is a shift in the timelike component of the vector, which is the holonomic manifestation of the gravitomagnetic clock effect.

Original languageEnglish
Pages (from-to)195-201
Number of pages7
JournalClassical and Quantum Gravity
Issue number2
Publication statusPublished - 21 Jan 2002


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