Abstract
We obtain a full characterization of Einstein-Maxwell -form solutions in dimensions for which all higher-order corrections vanish identically. These thus simultaneously solve a large class of Lagrangian theories including both modified gravities and (possibly non-minimally coupled) modified electrodynamics. Specifically, both and are fields with vanishing scalar invariants and further satisfy two simple tensorial conditions. They describe a family of gravitational and electromagnetic plane-fronted waves of the Kundt class and of Weyl type III (or more special). The local form of and a few examples are also provided.
- Received 28 November 2018
DOI:https://doi.org/10.1103/PhysRevD.99.044048
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