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arXiv · 2305.08756

Complex conformal transformations and zero-rest-mass fields

Bernardo Araneda
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Abstract

We give a simple prescription for relating different solutions to the zero-rest-mass field equations in conformally flat space-time via complex conformal transformations and changes in reality conditions. We give several examples including linearized black holes. In particular, we show that the linearized Plebanski-Demianski and Schwarzschild fields are related by a complex translation and a complex special conformal transformation. Similar results hold for the linearized Kerr and C-metric fields, and for a peculiar toroidal singularity.

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Bernardo Araneda. 2023-05-15. Complex conformal transformations and zero-rest-mass fields. https://doi.org/10.1103/physrevd.108.024032

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