Circular Holonomy, Clock Effects and Gravitoelectromagnetism: Still Going around in Circles after all These Years (Articolo in rivista)

Type
Label
  • Circular Holonomy, Clock Effects and Gravitoelectromagnetism: Still Going around in Circles after all These Years (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bini D., Jantzen R.T. (2003)
    Circular Holonomy, Clock Effects and Gravitoelectromagnetism: Still Going around in Circles after all These Years
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bini D., Jantzen R.T. (literal)
Pagina inizio
  • 983 (literal)
Pagina fine
  • 1008 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 117 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • E-print: gr-qc/0202085 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Titolo
  • Circular Holonomy, Clock Effects and Gravitoelectromagnetism: Still Going around in Circles after all These Years (literal)
Abstract
  • The historical origins of Fermi-Walker transport and Fermi coordinates and the construction of Fermi-Walker transported frames in black hole spacetimes are reviewed. For geodesics this transport reduces to parallel transport and these frames can be explicitly constructed using a Killing-Yano tensor as shown by Marck. For accelerated or geodesic circular orbits in such spacetimes, both parallel and Fermi-Walker transported frames can be given, and allow one to study circular holonomy and related clock and spin transport effects. In particular the total angle of rotation that a spin vector undergoes around a closed loop can be expressed in a factored form, where each factor is due to a different relativistic effect, in contrast with the usual sum of terms decomposition. Finally the Thomas precession frequency is shown to be a special case of the simple relationship between the parallel transport and Fermi-Walker transport frequencies for stationary circular orbits. (literal)
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