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Vacuum solutions
Vacuum solutions of the Einstein field equations are those for which the energy-momentum tensor is zero in a given region of spacetime, i.e.,
Tab = 0
In this region, with Λ = 0, we also have the Ricci tensor zero:
Rab = 0
The Riemann and Weyl tensors are then equal:
Rabcd = Cabcd
The most famous vacuum solution is the (exterior) Schwarzschild solution, which can be used to model the spacetime geometry in the vicinity of a star.
Last updated: 05-30-2005 18:23:34
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