Circular Orbits in Stationary Axisymmetric Spacetimes

Details Circular Orbits in Stationary Axisymmetric Spacetimes Circular Orbits in Stationary Axisymmetric Spacetimes

Aug 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998gregr..30.1203s&link_type=abstract

General Relativity and Gravitation, Volume 30, Issue 8, pp.1203-1215

Physics

5

General Relativity, Black Holes, Circular Orbits

Scientific paper

Several types of characteristics of spatially circular timelike trajectories in stationary axisymmetric spacetimes are related in a simple and covariant manner. The relations allow us to establish straightforward links between different phenomena often studied on circular orbits: mechanics of a single test particle, precession of gyroscopes with respect to important vectors defined along the orbit, geometrical parameters (curvatures) of the trajectory provided by the Frenet-Serret formalism, and geometrical properties (vorticity and shear) of the whole circular congruence.

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