It is proven that a solution to the Einstein-Maxwell equations whose gravitational and electromagnetic radiation fields vanish at infinity is in fact stationary in a neighbourhood of spatial infinity. That is, if in adapted coordinates the Weyl and Faraday tensors decay suitably fast and there is an asymptotically-to-all-orders Killing vector field, then this is indeed a Killing vector field in the region outside the bifurcate horizon of a sphere of sufficiently large radius. In particular, electrovacuum time-periodic spacetimes, which are truly dynamical, do not exist. This can be interpreted as a mild form of the statement: “Gravitational waves carry energy away from an isolated system". This is an extension of earlier work by Alexakis and Schlue, and Bičák, Scholtz and Tod, to include matter/energy models, in this case electromagnetism. It is also shown that the same result holds when the Einstein's equations are coupled to a massless Klein-Gordon field.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:714955 |
| Date | January 2016 |
| Creators | Toalá Enríquez, Rosemberg |
| Publisher | University of Warwick |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://wrap.warwick.ac.uk/89265/ |
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