Post-Newtonian Frames of Reference

TL;DR

This paper develops a general theory of post-Newtonian frames of reference, focusing on accurately incorporating the rotation of the frame, which is often oversimplified or neglected in previous models.

Contribution

It provides a detailed solution for including the rotation of frames of reference within the post-Newtonian approximation, improving upon prior simplified approaches.

Findings

Successfully incorporates frame rotation into post-Newtonian frames

Addresses common oversimplifications in previous models

Enhances accuracy of relativistic reference frame descriptions

Abstract

A general theory of frames of reference proposed in a preceding publication is considered here in the framework of the post-Newtonian approximation, assuming that the frame of reference is centered on a time-like geodesic. The problem of taking into account the rotation of the frame of reference, which is usually ignored or incorrectly oversimplified, is here discussed in detail and solved.