
doi: 10.1007/bf01804562
It has been shown that nonzero gravitational dual charge cannot be found in a spinmanifold space-time. Nevertheless, gravitational dual charge is not physically inconsistent with spin-1/2, because spinor nodal regions should be excluded from the manifold. However, gravitational dual charge cannot be borne by any object sufficiently localizable that it can be surrounded by an everywhere spacelike two-sphere, hence is not readily visible in Cauchy data.
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