On Electrogravity Duality

TL;DR

This paper introduces an electrogravity duality transformation that maps vacuum spacetimes to those with topological defects like monopoles, revealing a new topological defect generating process in black hole solutions.

Contribution

It defines a novel electrogravity duality transformation and demonstrates its role in generating topological defects in black hole solutions.

Findings

Vacuum spacetime maps to spacetime with a topological defect.

Black hole solutions have duals with global monopoles.

Electrogravity duality acts as a topological defect generator.

Abstract

By resolving the gravitational field into electric and magnetic parts, we define an electrogravity duality transformation and discover an interesting property of the field. Under the duality transformation a vacuum/flat spacetime maps into the original spacetime with a topological defect of global monopole/texture. The elctrogravity-duality is thus a topological defect generating process. It turns out that all black hole solutions possess dual solutions that imbibe a global monopole.