The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes

TL;DR

This paper applies a geometric interpretation framework to analyze circular orbits in stationary axisymmetric spacetimes, enhancing understanding of rotational effects and spin precession in black hole environments.

Contribution

It extends a previous geometric approach to interpret spacetime in terms of space-plus-time splitting, specifically applied to circular orbits in black hole spacetimes.

Findings

Provides intuitive understanding of rotational features in stationary spacetimes

Clarifies spin precession effects in black hole environments

Generalizes previous work on circular orbits in black hole spacetimes

Abstract

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.