The Monopole and the Coulomb field as duals within the unifying Reissner-Nordstrom geometry

TL;DR

This paper demonstrates that monopole and Coulomb fields are dual aspects within the Reissner-Nordstrom spacetime, showing their essential roles in diagonalizing the stress-energy tensor and unifying electromagnetic phenomena.

Contribution

It reveals the duality of monopole and Coulomb fields within Reissner-Nordstrom geometry, highlighting their combined necessity for tensor diagonalization.

Findings

Monopole and Coulomb fields are dual within Reissner-Nordstrom spacetime.

Both fields are necessary to diagonalize the stress-energy tensor.

Electromagnetic fields are integral to the unifying structure.

Abstract

We are going to prove that the Monopole and the Coulomb fields are duals within the unifying structure provided by the Reissner-Nordstrom spacetime. This is accomplished when noticing that in order to produce the tetrad that locally and covariantly diagonalizes the stress-energy tensor, both the Monopole and the Coulomb fields are necessary in the construction. Without any of them it would be impossible to express the tetrad vectors that locally and covariantly diagonalize the stress-energy tensor. Then, both electromagnetic fields are an integral part of the same structure, the Reissner-Nordstrom geometry.