English

VSI electromagnetic fields

General Relativity and Quantum Cosmology 2018-02-06 v1

Abstract

A pp-form FF is VSI (i.e., all its scalar invariants of arbitrary order vanish) in a nn-dimensional spacetime if and only if it is of type N, its multiple null direction ll is "degenerate Kundt", and £lF=0\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.

Keywords

Cite

@article{arxiv.1605.03727,
  title  = {VSI electromagnetic fields},
  author = {Marcello Ortaggio and Vojtěch Pravda},
  journal= {arXiv preprint arXiv:1605.03727},
  year   = {2018}
}

Comments

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/)

R2 v1 2026-06-22T13:59:13.061Z