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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
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.
