Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities

In this work, we provide consistent compactifications of Einstein-Maxwell and Einstein-Maxwell-Lovelock theories on direct product spacetimes the form ${\mathcal{M}}_{D}={\mathcal{M}}_{d}\ifmmode\times\else\texttimes\fi{}{\mathcal{K}}^{p}$, where ${\mathcal{K}}^{p}$ is a Euclidean internal manifold constant curvature. For these to take place, distribution precise flux $p$-forms over required. The dynamics are demanded be controlled by two types interactions: first, specific couplings with curvature tensor and, second, suitable interaction electromagnetic field $d$-dimensional brane, latter being dictated modification recently proposed theory quasitopological electromagnetism. equations corresponding compactified theories, which second order, solved, general homogenously charged black $p$-branes constructed. We explicitly homogenous Reissner-Nordstr\"om strings in Boulware-Deser for quadratic cubic Maxwell-Lovelock gravities.