Birkhoff’s theorem on manifolds. (English) Zbl 0708.53018
Birkhoff’s theorem states that the geometry of a given region of space- time is a piece of the Schwarzschild geometry if it is spherically symmetric and satisfies the Einstein empty space equations. The author of this short paper shows that Birkhoff’s theorem holds on any affinely connected manifold with zero torsion.
Reviewer: G.Arca
MSC:
| 53B05 | Linear and affine connections |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
References:
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