Geometric interpretation of the Frenet-Serret frame description of circular orbits in stationary axisymmetric spacetimes

Details Geometric interpretation of the Frenet-Serret frame description of circular orbits in stationary axisymmetric spacetimes Geometric interpretation of the Frenet-Serret frame description of circular orbits in stationary axisymmetric spacetimes

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.1333b&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 4, pp. 1333-1348 (1999).

Physics

10

Scientific paper

A geometrical interpretation is given for the Frenet-Serret structure along constant speed circular orbits in orthogonally transitive stationary axisymmetric spacetimes. This gives a simple visualization of the acceleration of these orbits and of the Fermi-Walker angular velocity of the usual symmetry-adapted frame vectors along them and provides an elegant description of the various observers characterized by critical values of the variables parametrizing the acceleration.

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