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    Holonomy and gravitomagnetism

    Maartens, R. (Roy)
    Mashhoon, Bahram
    Matravers, David
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    [PDF] HolonomyAndGravitomagnetism.pdf (98.19Kb)
    Date
    2002
    Format
    Article
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    Abstract
    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.
    URI
    http://hdl.handle.net/10355/8578
    Citation
    Roy Maartens et al 2002 Class. Quantum Grav. 19 195
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