Determination of vacuum space-times from the Einstein-Maxwell equations
Analysis of PDEs
2017-04-03 v1
Abstract
We study inverse problems for the Einstein-Maxwell equations. We prove that it is possible to generate gravitational waves from the nonlinear interactions of electromagnetic waves. By sending electromagnetic waves from a neighborhood of a freely falling observer and taking measurements of the gravitational perturbations in the same neighborhood, one can determine the vacuum space-time structure up to diffeomorphisms in the largest region where these waves can travel to from the observer and return.
Keywords
Cite
@article{arxiv.1703.10704,
title = {Determination of vacuum space-times from the Einstein-Maxwell equations},
author = {Matti Lassas and Gunther Uhlmann and Yiran Wang},
journal= {arXiv preprint arXiv:1703.10704},
year = {2017}
}