Maxwell's theory on a post-Riemannian spacetime and the equivalence principle

Preprint

10 July 1996

preprint
Published by arXiv in arXiv

Abstract

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if torsion and/or nonmetricity fields are allowed for in spacetime. Starting from the conservation laws of electric charge and magnetic flux, we come to a unique answer: the Maxwell equations remain the same. We illustrate our results by putting an electric charge on top of a spherically symmetric exact solution of metric affine gravity (comprising torsion and nonmetricity). All this is compared to the recent results of Vandyck.

Keywords

EQUIVALENCE PRINCIPLE
RIEMANNIAN SPACETIME
MAXWELL'S THEORY
ELECTRIC CHARGE
POST RIEMANNIAN
NONMETRICITY
SPACETIME
TORSION
GRAVITY

All Related Versions

Version 1, 1996-07-10, ArXiv
Version 2, 1996-09-22, ArXiv
Version 3, 1997-02-12, ArXiv
Published version: Classical and Quantum Gravity, 14 (5), 1347.

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