2000/07/10 by Paweł~Nurowski, Jerzy F. Plebański
Physics and Astronomy · #gr-qc
published as Class.Quant.Grav. 18 (2001) 341-351
arxiv created 2000/07/10 · arxiv updated 2009/11/30
A maximally reduced system of equations corresponding to the twisting type N Einstein metrics is given. When the cosmological constant λ→ 0 they reduce to the standard equations for the vacuum twisting type N's. All the metrics which are conformally equivalent to the twisting type N metrics and which admit 3-dimensional conformal group of symmetries are presented. In the Feferman class of metrics an example is given of a twisting type N metric which satisfies Bach's equations but is not Einstein.