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Holonomy and gravitomagnetism

Roy Maartens·Bahram Mashhoon·David Matravers
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Abstract

We analyze parallel transport of a vector field around an equatorial orbit in Kerr and stationary axisymmetric spacetimes that are reflection symmetric about their equatorial planes. As in 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.

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Roy Maartens, Bahram Mashhoon, David Matravers. 2001-11-27. Holonomy and gravitomagnetism. https://doi.org/10.1088/0264-9381%2F19%2F2%2F301

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