The Many Faces of Gravitoelectromagnetism

TL;DR

This paper unifies various approaches to gravitoelectromagnetism within a single framework, clarifying their relationships and applying this to analyze acceleration, gyroscope precession, and Einstein equations in the post-Newtonian approximation.

Contribution

It introduces a unified framework for spatial gravitational forces and explores their implications in post-Newtonian gravity and Einstein equations.

Findings

Unified framework clarifies relationships among gravitoelectromagnetic concepts.

Analysis of acceleration equals force in post-Newtonian approximation.

Discussion of gyroscope precession and Einstein equations in the same context.

Abstract

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.