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arxiv: 1605.03727 · v1 · submitted 2016-05-12 · 🌀 gr-qc

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VSI electromagnetic fields

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classification 🌀 gr-qc
keywords fieldsarbitraryconsequencescontributioncoupleddegeneratederivativesdimensional
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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.

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