Plane-fronted waves in metric-affine gravity

Abstract

We study plane-fronted electrovacuum waves in metric-affine gravity theories (MAG) with cosmological constant. Their field strengths are, on the gravitational side, curvature $R_{\alpha }{}^{\beta }$, nonmetricity $Q_{\alpha \beta }$, torsion $T^{\alpha }$ and, on the matter side, the electromagnetic field strength $F$. Our starting point is the work by Ozsváth, Robinson, and Rózga on type N gravitational fields in general relativity as coupled to null electromagnetic fields.

14 pages, submitted to Phys. Rev. D

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