Quasitopological electromagnetism: Reissner-Nordstr\"om black strings in Einstein and Lovelock gravities

Understand

In this work, we provide consistent compactifications of Einstein-Maxwell and Einstein-Maxwell-Lovelock theories on direct product spacetimes of the form $\mathcal{M}_D=\mathcal{M}_d\times\mathcal{K}^{p}$, where $\mathcal{K}^p$ is a Euclidean internal manifold of constant curvature.

• For these compactifications to take place, it is required the distribution of a precise flux of $p$-forms over the internal manifold.
• The dynamic of the $p$-forms are demanded to be controlled by two types of interaction.
• First, by specific couplings with the curvature tensor and, second, by a suitable interaction with the electromagnetic field of the $d$-dimensional brane, the latter being dictated by a modification of the recently proposed theory of Quasitopological Electromagnetism.