The Spin of the Tensor Fields in GeneralRelativity

摘要

It is shown that the formula of the isometry generators of the spinor representationgiven by Carter and McLenaghan is universal in the sense that this holds for any representation ofthe gauge group, either in local frames or even in natural ones. We define the point-dependent spinmatrices in natural frames for any tensor representation which allow us to write the isometrygenerators of these representations in the Carter and McLenaghan form.