Highly Influenced

# 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} }

- Published 2000
DOI:10.1007/PL00001021

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