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Stationarity of asymptotically flat non-radiating electrovacuum spacetimes.
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Toalá Enríquez, Rosemberg (2016) Stationarity of asymptotically flat non-radiating electrovacuum spacetimes. PhD thesis, University of Warwick.
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WRAP_Theses_Toala_Enriquez_2016.pdf - Submitted Version - Requires a PDF viewer. Download (1330Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3067221~S15
Abstract
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.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Space and time, Gravitational waves, Einstein field equations, Maxwell equations | ||||
Official Date: | December 2016 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | MacKay, Robert S., 1956- | ||||
Sponsors: | Consejo Nacional de Ciencia y Tecnología (Mexico) | ||||
Format of File: | |||||
Extent: | vii, 10, 117 leaves : illustrations | ||||
Language: | eng |
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