Triads and the Witten equation
- 1 October 1991
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 8 (10) , 1881-1887
- https://doi.org/10.1088/0264-9381/8/10/013
Abstract
It is shown that the Witten spinor, i.e. a solution to the Witten equation on a maximal spacelike hypersurface S of a four-dimensional spacetime M, is completely equivalent to a set of three mutually orthogonal divergence-free vector fields of equal length on S that satisfy an additional cyclic condition. Together with the surface normal these define a tetrad with respect to which the Sparling 3-form is timelike.Keywords
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