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arXiv · 1811.08232

Einstein-Maxwell fields with vanishing higher-order corrections

Martin Kuchynka·Marcello Ortaggio
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Abstract

We obtain a full characterization of Einstein-Maxwell $p$-form solutions $(\boldsymbol{g},\boldsymbol{F})$ in $D$-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 $\boldsymbol{g}$ and $\boldsymbol{F}$ 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 $(\boldsymbol{g},\boldsymbol{F})$ and a few examples are also provided.

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Martin Kuchynka, Marcello Ortaggio. 2018-11-20. Einstein-Maxwell fields with vanishing higher-order corrections. https://doi.org/10.1103/physrevd.99.044048

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