English

On the relationship between charge and mass in General Relativity

General Relativity and Quantum Cosmology 2018-12-20 v1 High Energy Physics - Theory

Abstract

This paper demonstrates a relationship between mass and charge through explicit construction of exact Einstein-Maxwell spacetimes by embedding the Schwarzschild and Kerr instantons in 5 dimensions. It is shown further how by varying only the mass of an object, its electric field or apparent "charge" changes, while making it possible for two different mass values to yield the same electric field strength. The 5-dimensional solution, however, reduces to the familiar Coulomb limit 1/r21/r^2 for large distances.

Keywords

Cite

@article{arxiv.1812.08050,
  title  = {On the relationship between charge and mass in General Relativity},
  author = {Vineet Kumar},
  journal= {arXiv preprint arXiv:1812.08050},
  year   = {2018}
}

Comments

This is a quick draft submitted to arxiv for preliminary comments and feedback, which would be much appreciated. More writing and figures are intended to be added

R2 v1 2026-06-23T06:48:02.983Z