VSI electromagnetic fields

Abstract

A $p$-form $F$ is VSI (i.e., all its scalar invariants of arbitrary order vanish) in a $n$-dimensional spacetime if and only if it is of type N, its multiple null direction $l$ is "degenerate Kundt", and ${\pounds }_{l}F=0$. This recent result is reviewed in the present contribution and its main consequences are summarized. In particular, a subset of VSI Maxwell fields possesses a universal property, i.e., they also solve (virtually) any generalized (non-linear and with higher derivatives) electrodynamics, possibly also coupled to Einstein's gravity.

7 pages; compact summary of arXiv:1506.04538. Proceedings of the 14th Marcel Grossmann Meeting, Rome, July 12-18, 2015 (http://www.icra.it/mg/mg14/)

Cited by in corpus (1)

• Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell $p$-form theory