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arXiv · 1703.10704

Determination of vacuum space-times from the Einstein-Maxwell equations

Matti Lassas·Gunther Uhlmann·Yiran Wang
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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.

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Matti Lassas, Gunther Uhlmann, Yiran Wang. 2017-03-30. Determination of vacuum space-times from the Einstein-Maxwell equations. https://arxiv.org/abs/1703.10704

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