On Stationary Vacuum Solutions to the Einstein Equations

@inproceedings{Anderson2000OnSV,
  title={On Stationary Vacuum Solutions to the Einstein Equations},
  author={Michael T. Anderson},
  year={2000}
}
A stationary space-time (M,g) is a 4-manifold M with a smooth Lorentzian metric g, of signature (−,+,+,+), which has a smooth 1-parameter group G ≈ R of isometries whose orbits are time-like curves in M . We assume throughout the paper that M is a chronological space-time, i.e. M admits no closed time-like curves, c.f. §1.1 for further discussion. Let S be the orbit space of the action G. Then S is a smooth 3-manifold, (Hausdorff and paracompact), for which the projection 

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