Generating Method Based on Conformal Invariance of the Maxwell Field

Jakub Hruška, Martin Žofka

We use conformal transformation to generate solutions of Einstein-Maxwell equations from other seed electro-vacuum spacetimes. We utilize the fact that the source-free Maxwell field is conformally invariant in four dimensions. Although the transformation is necessarily identical for most seed spacetimes, the PP-waves can be non-trivially transformed and may, therefore, play an analogous role as in the Birkhoff theorem.