Geometric transport along circular orbits in stationary axisymmetric spacetimes (Articolo in rivista)

Type
Label
  • Geometric transport along circular orbits in stationary axisymmetric spacetimes (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bini D., Cherubini C., Cruciani G., Jantzen R.T. (2004)
    Geometric transport along circular orbits in stationary axisymmetric spacetimes
    in International journal of modern physics D
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bini D., Cherubini C., Cruciani G., Jantzen R.T. (literal)
Pagina inizio
  • 1771 (literal)
Pagina fine
  • 1803 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 13 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • E-print: gr-qc/0407004 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Titolo
  • Geometric transport along circular orbits in stationary axisymmetric spacetimes (literal)
Abstract
  • Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravitoelectromagnetic fields associated with the zero angular momentum observers and of the Frenet-Serret parameters of these orbits as a function of their angular velocity is seen on the behavior of parallel transport through its representation as a parameter-dependent Lorentz transformation between these two inner-product preserving transports which is generated by the induced connection. This extends the analysis of parallel transport in the equatorial plane of the Kerr spacetime to the entire spacetime outside the black hole horizon, and helps give an intuitive picture of how competing ``central attraction forces\" and centripetal accelerations contribute with gravitomagnetic effects to explain the behavior of the 4-acceleration of circular orbits in that spacetime. (literal)
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