Paolo Carini

The many faces of gravitoelectromagnetism

The numerous ways of introducing spatial gravitational forces are fit together in a single framework enabling their interrelationships to be clarified. This framework is then used to treat the “acceleration equals force” equation and gyroscope precession, both of which are then discussed in the post-Newtonian approximation, followed by a brief examination of the Einstein equations themselves in that approximation.

THE INTRINSIC DERIVATIVE AND CENTRIFUGAL FORCES IN GENERAL RELATIVITY: II. APPLICATIONS TO CIRCULAR ORBITS IN SOME FAMILIAR STATIONARY AXISYMMETRIC SPACETIMES

The tools developed in a preceding article for interpreting spacetime geometry in terms of all possible space-plus-time splitting approaches are applied to circular orbits in some familiar stationary axisymmetric spacetimes. This helps give a more intuitive picture of their rotational features including spin precession effects, and puts related work of Abramowicz, de Felice, and others on circular orbits in black hole spacetimes into a more general context.