Linearized gravity in terms of differential forms

TL;DR

This paper introduces a novel method to linearize gravitational field equations using differential forms, treating metric perturbations as symmetric 1-forms within Minkowski spacetime, simplifying the mathematical framework.

Contribution

The paper develops a differential forms-based technique for linearizing gravity, offering a new approach to perturbation analysis in general relativity.

Findings

Provides a differential forms framework for linearized gravity

Simplifies gravitational perturbation calculations

Potentially facilitates new analytical solutions

Abstract

A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior algebra of differential forms.