Conformal classes of asymptotically flat, static vacuum data

@inproceedings{Friedrich2008ConformalCO,
  title={Conformal classes of asymptotically flat, static vacuum data},
  author={Helmut Felix Friedrich},
  year={2008}
}
We show that time-reflection symmetric, asymptotically flat, static vacuum data which admit a non-trivial conformal rescaling which leads again to such data must be axi-symmetric and admit a conformal Killing field. Moreover, it is shown that there exists a 3-parameter family of such data.