Deviation of Large Scale Gravitoelectromagnetic Field in Post-Newtonian Approximation

TL;DR

This paper explores the behavior of gravitoelectromagnetic fields in large-scale astrophysical systems using post-Newtonian approximation, drawing analogies with electromagnetism to understand gravitational phenomena.

Contribution

It develops a framework for analyzing large-scale gravitational fields with electromagnetic analogies within the post-Newtonian approximation of General Relativity.

Findings

Formulation of gravitoelectromagnetic fields in large-scale systems

Inclusion of polarization and magnetization effects in gravitational fields

Extension of electromagnetic analogies to gravitational phenomena

Abstract

In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from metric-independent elements, fields that are governed by equations similar to the Maxwell's ones in Lorentz gauge. We promediate these equations for matter distributed in local systems, like solar systems or galaxies. Finally we define the large scale fields for this distribution, which includes terms analogous to electromagnetic case, like polarization, magnetization and superiors terms.