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Birkhoff's theorem (relativity)
Birkhoff's theorem in relativity is a theorem pertaining to a particular type of solution of Einstein's field equations of general relativity theory.
More precisely, the theorem says that any spherically symmetric solution of the vacuum field equations is necessarily static. The resulting metric is then the (exterior) Schwarzschild solution. A consequence of Birkhoff's theorem is that a pulsating star that remains spherically symmetric cannot emit gravitational waves.
This is a 1927 result of G. D. Birkhoff.
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Last updated: 05-28-2005 16:41:34
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details