A classification of the effective metric in nonlinear electrodynamics
General Relativity and Quantum Cosmology
2010-04-14 v1 High Energy Physics - Theory
Optics
Abstract
We show that only two types of effective metrics are possible in certain nonlinear electromagnetic theories. This is achieved by using the dependence of the effective metric on the energy-momentum tensor of the background along with the Segr\`e classification of the latter. Each of these forms is completely determined by single scalar function, which characterizes the light cone of the nonlinear theory. We compare this light cone with that of Minkowski in two examples.
Cite
@article{arxiv.0905.3673,
title = {A classification of the effective metric in nonlinear electrodynamics},
author = {Erico Goulart de Oliveira Costa and Santiago Esteban Perez Bergliaffa},
journal= {arXiv preprint arXiv:0905.3673},
year = {2010}
}
Comments
Accepted for publication in Classical & Quantum Gravity