Complex conformal transformations and zero-rest-mass fields

Bernardo Araneda

Complex conformal transformations and zero-rest-mass fields

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arxiv 2305.08756 v1 pith:ZU73WLTQ submitted 2023-05-15 gr-qc hep-th

Bernardo Araneda This is my paper · ORCID

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keywords complexconformalfieldslinearizedgivetransformationszero-rest-massblack

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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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Incidence Relations for Self-Dual Black Holes
hep-th 2026-08 conditional novelty 6.0 of 10

Closed-form deformed incidence relations are constructed for Eguchi-Hanson, self-dual Taub-NUT, and self-dual Plebanski-Demianski spacetimes by resumming the Dunajski-Mason recursion in Plebanski coordinates.

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