On the analysis of the gravitational field by reduction of the Weyl tensor to canonical form: Algebraically general case

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Abstract
From the Weyl tensor, which can be split up into an ’’electric’’ and ’’magnetic’’ part of the gravitational field, one can construct a ’’flux of superenergy.’’ This is analogous to the electromagnetic case where the flux of energy is described by the Poynting vector. In the electromagnetic case, a suitable boost can be made to make the energy flux vanish in a certain frame. By analogy, in this paper we exhibit a variety of methods by which we find a frame in which the flux of superenergy vanishes. These methods are linked together involving spin, Lorentz and complex rotation matrices which are inherently related to a study of the quartic. The algebraically general case only is considered.

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