The Newtonian Potential in Gravitational Cohomology

TL;DR

This paper explores the Newtonian gravitational potential within a cohomological framework, demonstrating that the associated field strength reproduces classical results for a stationary point mass.

Contribution

It introduces a gravitational cohomology approach to the Newtonian potential and explicitly constructs the field strength for a stationary point mass.

Findings

The potential satisfies the wave equation in empty space.

The gravitational field strength matches classical predictions for a stationary point mass.

Abstract

We examine the Newtonian potential in gravitational cohomology. This is given by a symmetric, two-index tensor field, which satisfies the wave equation in empty space. Furthermore, the associated gravitational field strength, obtained by applying the coboundary operator to the potential, is constructed for the case of a stationary point mass and shown to give the classical result.