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arXiv · 1607.04882

Stationarity of asymptotically flat non-radiating electrovacuum spacetimes

Rosemberg Toalá Enríquez
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Abstract

It is proven that a solution to the Einstein-Maxwell equations whose gravitational and electromagnetic radiation fields vanish is in fact stationary in a neighbourhood of spatial infinity. That is, if the Weyl and Faraday tensors decay suitably fast, then there exists a time-like Killing vector field in the region outside the bifurcate horizon of a sphere of sufficiently large radius. In particular, truly dynamical time-periodic electrovacuum spacetimes do not exist. This is an extension of earlier work by Alexakis and Schlue and Bi\v{c}\'{a}k, Sholtz and Tod to include electromagnetism.

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Rosemberg Toalá Enríquez. 2016-07-17. Stationarity of asymptotically flat non-radiating electrovacuum spacetimes. https://arxiv.org/abs/1607.04882

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