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Non-vacuum twisting type N metrics

Paweł~Nurowski·Jerzy F. Plebański
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Abstract

A maximally reduced system of equations corresponding to the twisting type N Einstein metrics is given. When the cosmological constant $λ\to 0$ 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.

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Paweł~Nurowski, Jerzy F. Plebański. 2000-07-10. Non-vacuum twisting type N metrics. https://arxiv.org/abs/gr-qc/0007017

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