Complex conformal transformations and zero-rest-mass fields
General Relativity and Quantum Cosmology
2023-07-26 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.2305.08756,
title = {Complex conformal transformations and zero-rest-mass fields},
author = {Bernardo Araneda},
journal= {arXiv preprint arXiv:2305.08756},
year = {2023}
}
Comments
16 pages