Aligned electric and magnetic Weyl fields

Abstract

We analyze the spacetimes admitting a direction for which the relative electric and magnetic Weyl fields are aligned. We give an invariant characterization of these metrics and study the properties of its Debever null vectors. The directions 'observing' aligned electric and magnetic Weyl fields are obtained for every Petrov type. The results on the no existence of purely magnetic solutions are extended to the wider class having homothetic electric and magnetic Weyl fields.

14 pages

References in corpus (4)

• On the classification of type D spacetimes
• Purely gravito-magnetic vacuum space-times
• Gravito-magnetic vacuum spacetimes: kinematic restrictions
• Tidal effects cannot be absent in a vacuum

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• An exhaustive classification of aligned Petrov type D purely magnetic perfect fluids
• Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity
• Obtaining the Weyl tensor from the Bel-Robinson tensor
• On the super-energy radiative gravitational fields
• Purely magnetic spacetimes