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Title: Stationarity of asymptotically flat non-radiating electrovacuum spacetimes
Author: Toalá Enríquez, Rosemberg
ISNI:       0000 0004 6351 149X
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2016
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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.
Supervisor: Not available Sponsor: Consejo Nacional de Ciencia y Tecnología (Mexico)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics