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Sfb288 logo Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 483


Non-vacuum twisting type N metrics

Pawel Nurowski and Jerzy F. Plebanski

A maximally reduced system of equations corresponding to the twisting type N Einstein metrics is given. When the cosmological constant $lambda o 0$ they reduce to the standard equations for the vacuum twisting type N's. All the metrics which are 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.


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